Using set notation, write out the sample space for each of the following random experiments. a. A coin is tossed three times in a row. The observation is how the coin lands ( H or T ) on each toss. b. A basketball player shoots three consecutive free throws. The observation is the result of each free throw ( s for success, f for failure). c. A coin is tossed three times in a row. The observation is the number of times the coin comes up tails. d. A basketball player shoots three consecutive free throws. The observation is the number of successes.

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Answer 1

Textbook Question

Chapter 16, Problem 1E

Using set notation, write out the sample space for each of the following random experiments.

a. A coin is tossed three times in a row. The observation is how the coin lands (H or T ) on each toss.

b. A basketball player shoots three consecutive free throws. The observation is the result of each free throw ( s for success, f for failure).

c. A coin is tossed three times in a row. The observation is the number of times the coin comes up tails.

d. A basketball player shoots three consecutive free throws. The observation is the number of successes.

Expert Solution

To determine

(a)

To calculate:

The Sample Space for a coin tossed three times.

Answer to Problem 1E

Solution:

The sample space is S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT} for a coin tossed 3 times.

Explanation of Solution

Procedure used:

When a coin is tossed three times, the outcome in each toss is either head (H) or tail (T).

There is one way to get 3 heads: {HHH}

There are 3 ways to get 2 heads: {HHT,THH,HTH}

There is 1 way to get 3 tails: {TTT}

There are 3 ways to get 1 head:{HTT,THT,TTH}

The Sample Space of a sequence of three fair coin tosses is all 23 possible sequences of outcomes:

S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

So there are 8 events in the sample space. If the coin tossed is fair than each event is equally possible.

Given:

A coin is given for tossing.

Conclusion:

Thus, the sample space is S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT} for a coin tossed 3 times.

Expert Solution

To determine

(b)

To calculate:

The Sample Space for three throws of basketball.

Answer to Problem 1E

Solution:

The Sample Space of a sequence of three consecutive free throws is S={sss,ssf,sfs,sff,fsf,fss,ffs,fff}.

Explanation of Solution

Given:

A basketball player shoots three consecutive free throws.

Calculation:

The outcome in each throw is either success (s) or failure (f).

There is one way to get 3 successes: {sss}

There are 3 ways to get 2 successes: {ssf,fss,sfs}

There is 1 way to get 3 failures: {fff}

There are 3 ways to get 1 success: {sff,fsf,ffs}

The Sample Space of a sequence of three consecutive free throws is all 23 possible sequences of outcomes:

S={sss,ssf,sfs,sff,fsf,fss,ffs,fff}

So there are 8 events in the sample space.

Conclusion:

Thus, the Sample Space of a sequence of three consecutive free throws is S={sss,ssf,sfs,sff,fsf,fss,ffs,fff}.

Expert Solution

To determine

(c)

To calculate:

The Sample Space for number of times the coin comes up a tail.

Answer to Problem 1E

Solution:

The Sample Space of the number of times the coin comes up tails is,

S={0,1,2,3}

Explanation of Solution

Given:

A coin is given for tossing.

Calculation:

When a coin is tossed three times, the outcome in each toss is either head (H) or tail (T).

Numbers of ways to get tail are:

No tail, one tail, two tails, and three tails in a sequence of three fair coin.

The Sample Space of the number of times the coin comes up tails is,

S={0,1,2,3}

Conclusion:

Thus, the Sample Space of the number of times the coin comes up tails is,

S={0,1,2,3}

Expert Solution

To determine

(d)

To calculate:

The Sample Space of the number of times the free throw results in success.

Answer to Problem 1E

Solution:

The Sample Space of the number of times the free throw results in success is,

S={0,1,2,3}

Explanation of Solution

Given:

A coin is given for tossing.

Calculation:

When a ball is thrown three times, the outcome in each throw is either success (s) or failure (f).

Numbers of ways to get success:

No free throw results in success, one success, two successes, and three successes in a sequence of three free throws.

The Sample Space of the number of times the free throw results in success is,

S={0,1,2,3}

Conclusion:

Thus, the Sample Space of the number of times the free throw results in success is,

S={0,1,2,3}

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Answer 2

Textbook Question

Chapter 16, Problem 1E

Using set notation, write out the sample space for each of the following random experiments.

a. A coin is tossed three times in a row. The observation is how the coin lands (H or T ) on each toss.

b. A basketball player shoots three consecutive free throws. The observation is the result of each free throw ( s for success, f for failure).

c. A coin is tossed three times in a row. The observation is the number of times the coin comes up tails.

d. A basketball player shoots three consecutive free throws. The observation is the number of successes.

Expert Solution

To determine

(a)

To calculate:

The Sample Space for a coin tossed three times.

Answer to Problem 1E

Solution:

The sample space is S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT} for a coin tossed 3 times.

Explanation of Solution

Procedure used:

When a coin is tossed three times, the outcome in each toss is either head (H) or tail (T).

There is one way to get 3 heads: {HHH}

There are 3 ways to get 2 heads: {HHT,THH,HTH}

There is 1 way to get 3 tails: {TTT}

There are 3 ways to get 1 head:{HTT,THT,TTH}

The Sample Space of a sequence of three fair coin tosses is all 23 possible sequences of outcomes:

S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

So there are 8 events in the sample space. If the coin tossed is fair than each event is equally possible.

Given:

A coin is given for tossing.

Conclusion:

Thus, the sample space is S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT} for a coin tossed 3 times.

Expert Solution

To determine

(b)

To calculate:

The Sample Space for three throws of basketball.

Answer to Problem 1E

Solution:

The Sample Space of a sequence of three consecutive free throws is S={sss,ssf,sfs,sff,fsf,fss,ffs,fff}.

Explanation of Solution

Given:

A basketball player shoots three consecutive free throws.

Calculation:

The outcome in each throw is either success (s) or failure (f).

There is one way to get 3 successes: {sss}

There are 3 ways to get 2 successes: {ssf,fss,sfs}

There is 1 way to get 3 failures: {fff}

There are 3 ways to get 1 success: {sff,fsf,ffs}

The Sample Space of a sequence of three consecutive free throws is all 23 possible sequences of outcomes:

S={sss,ssf,sfs,sff,fsf,fss,ffs,fff}

So there are 8 events in the sample space.

Conclusion:

Thus, the Sample Space of a sequence of three consecutive free throws is S={sss,ssf,sfs,sff,fsf,fss,ffs,fff}.

Expert Solution

To determine

(c)

To calculate:

The Sample Space for number of times the coin comes up a tail.

Answer to Problem 1E

Solution:

The Sample Space of the number of times the coin comes up tails is,

S={0,1,2,3}

Explanation of Solution

Given:

A coin is given for tossing.

Calculation:

When a coin is tossed three times, the outcome in each toss is either head (H) or tail (T).

Numbers of ways to get tail are:

No tail, one tail, two tails, and three tails in a sequence of three fair coin.

The Sample Space of the number of times the coin comes up tails is,

S={0,1,2,3}

Conclusion:

Thus, the Sample Space of the number of times the coin comes up tails is,

S={0,1,2,3}

Expert Solution

To determine

(d)

To calculate:

The Sample Space of the number of times the free throw results in success.

Answer to Problem 1E

Solution:

The Sample Space of the number of times the free throw results in success is,

S={0,1,2,3}

Explanation of Solution

Given:

A coin is given for tossing.

Calculation:

When a ball is thrown three times, the outcome in each throw is either success (s) or failure (f).

Numbers of ways to get success:

No free throw results in success, one success, two successes, and three successes in a sequence of three free throws.

The Sample Space of the number of times the free throw results in success is,

S={0,1,2,3}

Conclusion:

Thus, the Sample Space of the number of times the free throw results in success is,

S={0,1,2,3}

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Answer 3

Textbook Question

Chapter 16, Problem 1E

Using set notation, write out the sample space for each of the following random experiments.

a. A coin is tossed three times in a row. The observation is how the coin lands (H or T ) on each toss.

b. A basketball player shoots three consecutive free throws. The observation is the result of each free throw ( s for success, f for failure).

c. A coin is tossed three times in a row. The observation is the number of times the coin comes up tails.

d. A basketball player shoots three consecutive free throws. The observation is the number of successes.

Expert Solution

To determine

(a)

To calculate:

The Sample Space for a coin tossed three times.

Answer to Problem 1E

Solution:

The sample space is S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT} for a coin tossed 3 times.

Explanation of Solution

Procedure used:

When a coin is tossed three times, the outcome in each toss is either head (H) or tail (T).

There is one way to get 3 heads: {HHH}

There are 3 ways to get 2 heads: {HHT,THH,HTH}

There is 1 way to get 3 tails: {TTT}

There are 3 ways to get 1 head:{HTT,THT,TTH}

The Sample Space of a sequence of three fair coin tosses is all 23 possible sequences of outcomes:

S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

So there are 8 events in the sample space. If the coin tossed is fair than each event is equally possible.

Given:

A coin is given for tossing.

Conclusion:

Thus, the sample space is S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT} for a coin tossed 3 times.

Expert Solution

To determine

(b)

To calculate:

The Sample Space for three throws of basketball.

Answer to Problem 1E

Solution:

The Sample Space of a sequence of three consecutive free throws is S={sss,ssf,sfs,sff,fsf,fss,ffs,fff}.

Explanation of Solution

Given:

A basketball player shoots three consecutive free throws.

Calculation:

The outcome in each throw is either success (s) or failure (f).

There is one way to get 3 successes: {sss}

There are 3 ways to get 2 successes: {ssf,fss,sfs}

There is 1 way to get 3 failures: {fff}

There are 3 ways to get 1 success: {sff,fsf,ffs}

The Sample Space of a sequence of three consecutive free throws is all 23 possible sequences of outcomes:

S={sss,ssf,sfs,sff,fsf,fss,ffs,fff}

So there are 8 events in the sample space.

Conclusion:

Thus, the Sample Space of a sequence of three consecutive free throws is S={sss,ssf,sfs,sff,fsf,fss,ffs,fff}.

Expert Solution

To determine

(c)

To calculate:

The Sample Space for number of times the coin comes up a tail.

Answer to Problem 1E

Solution:

The Sample Space of the number of times the coin comes up tails is,

S={0,1,2,3}

Explanation of Solution

Given:

A coin is given for tossing.

Calculation:

When a coin is tossed three times, the outcome in each toss is either head (H) or tail (T).

Numbers of ways to get tail are:

No tail, one tail, two tails, and three tails in a sequence of three fair coin.

The Sample Space of the number of times the coin comes up tails is,

S={0,1,2,3}

Conclusion:

Thus, the Sample Space of the number of times the coin comes up tails is,

S={0,1,2,3}

Expert Solution

To determine

(d)

To calculate:

The Sample Space of the number of times the free throw results in success.

Answer to Problem 1E

Solution:

The Sample Space of the number of times the free throw results in success is,

S={0,1,2,3}

Explanation of Solution

Given:

A coin is given for tossing.

Calculation:

When a ball is thrown three times, the outcome in each throw is either success (s) or failure (f).

Numbers of ways to get success:

No free throw results in success, one success, two successes, and three successes in a sequence of three free throws.

The Sample Space of the number of times the free throw results in success is,

S={0,1,2,3}

Conclusion:

Thus, the Sample Space of the number of times the free throw results in success is,

S={0,1,2,3}

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Answer 4

Textbook Question

Chapter 16, Problem 1E

Using set notation, write out the sample space for each of the following random experiments.

a. A coin is tossed three times in a row. The observation is how the coin lands (H or T ) on each toss.

b. A basketball player shoots three consecutive free throws. The observation is the result of each free throw ( s for success, f for failure).

c. A coin is tossed three times in a row. The observation is the number of times the coin comes up tails.

d. A basketball player shoots three consecutive free throws. The observation is the number of successes.

Expert Solution

To determine

(a)

To calculate:

The Sample Space for a coin tossed three times.

Answer to Problem 1E

Solution:

The sample space is S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT} for a coin tossed 3 times.

Explanation of Solution

Procedure used:

When a coin is tossed three times, the outcome in each toss is either head (H) or tail (T).

There is one way to get 3 heads: {HHH}

There are 3 ways to get 2 heads: {HHT,THH,HTH}

There is 1 way to get 3 tails: {TTT}

There are 3 ways to get 1 head:{HTT,THT,TTH}

The Sample Space of a sequence of three fair coin tosses is all 23 possible sequences of outcomes:

S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

So there are 8 events in the sample space. If the coin tossed is fair than each event is equally possible.

Given:

A coin is given for tossing.

Conclusion:

Thus, the sample space is S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT} for a coin tossed 3 times.

Expert Solution

To determine

(b)

To calculate:

The Sample Space for three throws of basketball.

Answer to Problem 1E

Solution:

The Sample Space of a sequence of three consecutive free throws is S={sss,ssf,sfs,sff,fsf,fss,ffs,fff}.

Explanation of Solution

Given:

A basketball player shoots three consecutive free throws.

Calculation:

The outcome in each throw is either success (s) or failure (f).

There is one way to get 3 successes: {sss}

There are 3 ways to get 2 successes: {ssf,fss,sfs}

There is 1 way to get 3 failures: {fff}

There are 3 ways to get 1 success: {sff,fsf,ffs}

The Sample Space of a sequence of three consecutive free throws is all 23 possible sequences of outcomes:

S={sss,ssf,sfs,sff,fsf,fss,ffs,fff}

So there are 8 events in the sample space.

Conclusion:

Thus, the Sample Space of a sequence of three consecutive free throws is S={sss,ssf,sfs,sff,fsf,fss,ffs,fff}.

Expert Solution

To determine

(c)

To calculate:

The Sample Space for number of times the coin comes up a tail.

Answer to Problem 1E

Solution:

The Sample Space of the number of times the coin comes up tails is,

S={0,1,2,3}

Explanation of Solution

Given:

A coin is given for tossing.

Calculation:

When a coin is tossed three times, the outcome in each toss is either head (H) or tail (T).

Numbers of ways to get tail are:

No tail, one tail, two tails, and three tails in a sequence of three fair coin.

The Sample Space of the number of times the coin comes up tails is,

S={0,1,2,3}

Conclusion:

Thus, the Sample Space of the number of times the coin comes up tails is,

S={0,1,2,3}

Expert Solution

To determine

(d)

To calculate:

The Sample Space of the number of times the free throw results in success.

Answer to Problem 1E

Solution:

The Sample Space of the number of times the free throw results in success is,

S={0,1,2,3}

Explanation of Solution

Given:

A coin is given for tossing.

Calculation:

When a ball is thrown three times, the outcome in each throw is either success (s) or failure (f).

Numbers of ways to get success:

No free throw results in success, one success, two successes, and three successes in a sequence of three free throws.

The Sample Space of the number of times the free throw results in success is,

S={0,1,2,3}

Conclusion:

Thus, the Sample Space of the number of times the free throw results in success is,

S={0,1,2,3}

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution

To determine

(a)

To calculate:

The Sample Space for a coin tossed three times.

Answer to Problem 1E

Solution:

The sample space is S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT} for a coin tossed 3 times.

Explanation of Solution

Procedure used:

When a coin is tossed three times, the outcome in each toss is either head (H) or tail (T).

There is one way to get 3 heads: {HHH}

There are 3 ways to get 2 heads: {HHT,THH,HTH}

There is 1 way to get 3 tails: {TTT}

There are 3 ways to get 1 head:{HTT,THT,TTH}

The Sample Space of a sequence of three fair coin tosses is all 23 possible sequences of outcomes:

S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

So there are 8 events in the sample space. If the coin tossed is fair than each event is equally possible.

Given:

A coin is given for tossing.

Conclusion:

Thus, the sample space is S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT} for a coin tossed 3 times.

Expert Solution

To determine

(b)

To calculate:

The Sample Space for three throws of basketball.

Answer to Problem 1E

Solution:

The Sample Space of a sequence of three consecutive free throws is S={sss,ssf,sfs,sff,fsf,fss,ffs,fff}.

Explanation of Solution

Given:

A basketball player shoots three consecutive free throws.

Calculation:

The outcome in each throw is either success (s) or failure (f).

There is one way to get 3 successes: {sss}

There are 3 ways to get 2 successes: {ssf,fss,sfs}

There is 1 way to get 3 failures: {fff}

There are 3 ways to get 1 success: {sff,fsf,ffs}

The Sample Space of a sequence of three consecutive free throws is all 23 possible sequences of outcomes:

S={sss,ssf,sfs,sff,fsf,fss,ffs,fff}

So there are 8 events in the sample space.

Conclusion:

Thus, the Sample Space of a sequence of three consecutive free throws is S={sss,ssf,sfs,sff,fsf,fss,ffs,fff}.

Expert Solution

To determine

(c)

To calculate:

The Sample Space for number of times the coin comes up a tail.

Answer to Problem 1E

Solution:

The Sample Space of the number of times the coin comes up tails is,

S={0,1,2,3}

Explanation of Solution

Given:

A coin is given for tossing.

Calculation:

When a coin is tossed three times, the outcome in each toss is either head (H) or tail (T).

Numbers of ways to get tail are:

No tail, one tail, two tails, and three tails in a sequence of three fair coin.

The Sample Space of the number of times the coin comes up tails is,

S={0,1,2,3}

Conclusion:

Thus, the Sample Space of the number of times the coin comes up tails is,

S={0,1,2,3}

Expert Solution

To determine

(d)

To calculate:

The Sample Space of the number of times the free throw results in success.

Answer to Problem 1E

Solution:

The Sample Space of the number of times the free throw results in success is,

S={0,1,2,3}

Explanation of Solution

Given:

A coin is given for tossing.

Calculation:

When a ball is thrown three times, the outcome in each throw is either success (s) or failure (f).

Numbers of ways to get success:

No free throw results in success, one success, two successes, and three successes in a sequence of three free throws.

The Sample Space of the number of times the free throw results in success is,

S={0,1,2,3}

Conclusion:

Thus, the Sample Space of the number of times the free throw results in success is,

S={0,1,2,3}

Answer 8

Expert Solution

To determine

(a)

To calculate:

The Sample Space for a coin tossed three times.

Answer to Problem 1E

Solution:

The sample space is S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT} for a coin tossed 3 times.

Explanation of Solution

Procedure used:

When a coin is tossed three times, the outcome in each toss is either head (H) or tail (T).

There is one way to get 3 heads: {HHH}

There are 3 ways to get 2 heads: {HHT,THH,HTH}

There is 1 way to get 3 tails: {TTT}

There are 3 ways to get 1 head:{HTT,THT,TTH}

The Sample Space of a sequence of three fair coin tosses is all 23 possible sequences of outcomes:

S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

So there are 8 events in the sample space. If the coin tossed is fair than each event is equally possible.

Given:

A coin is given for tossing.

Conclusion:

Thus, the sample space is S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT} for a coin tossed 3 times.

Answer 9

Expert Solution

Answer 10

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

(a)

To calculate:

The Sample Space for a coin tossed three times.

Answer 13

Answer to Problem 1E

Solution:

The sample space is S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT} for a coin tossed 3 times.

Answer 14

Explanation of Solution

Procedure used:

When a coin is tossed three times, the outcome in each toss is either head (H) or tail (T).

There is one way to get 3 heads: {HHH}

There are 3 ways to get 2 heads: {HHT,THH,HTH}

There is 1 way to get 3 tails: {TTT}

There are 3 ways to get 1 head:{HTT,THT,TTH}

The Sample Space of a sequence of three fair coin tosses is all 23 possible sequences of outcomes:

S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

So there are 8 events in the sample space. If the coin tossed is fair than each event is equally possible.

Given:

A coin is given for tossing.

Conclusion:

Thus, the sample space is S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT} for a coin tossed 3 times.

Answer 15

Expert Solution

To determine

(b)

To calculate:

The Sample Space for three throws of basketball.

Answer to Problem 1E

Solution:

The Sample Space of a sequence of three consecutive free throws is S={sss,ssf,sfs,sff,fsf,fss,ffs,fff}.

Explanation of Solution

Given:

A basketball player shoots three consecutive free throws.

Calculation:

The outcome in each throw is either success (s) or failure (f).

There is one way to get 3 successes: {sss}

There are 3 ways to get 2 successes: {ssf,fss,sfs}

There is 1 way to get 3 failures: {fff}

There are 3 ways to get 1 success: {sff,fsf,ffs}

The Sample Space of a sequence of three consecutive free throws is all 23 possible sequences of outcomes:

S={sss,ssf,sfs,sff,fsf,fss,ffs,fff}

So there are 8 events in the sample space.

Conclusion:

Thus, the Sample Space of a sequence of three consecutive free throws is S={sss,ssf,sfs,sff,fsf,fss,ffs,fff}.

Answer 16

Expert Solution

Answer 17

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

(b)

To calculate:

The Sample Space for three throws of basketball.

Answer 20

Answer to Problem 1E

Solution:

The Sample Space of a sequence of three consecutive free throws is S={sss,ssf,sfs,sff,fsf,fss,ffs,fff}.

Answer 21

Explanation of Solution

Given:

A basketball player shoots three consecutive free throws.

Calculation:

The outcome in each throw is either success (s) or failure (f).

There is one way to get 3 successes: {sss}

There are 3 ways to get 2 successes: {ssf,fss,sfs}

There is 1 way to get 3 failures: {fff}

There are 3 ways to get 1 success: {sff,fsf,ffs}

The Sample Space of a sequence of three consecutive free throws is all 23 possible sequences of outcomes:

S={sss,ssf,sfs,sff,fsf,fss,ffs,fff}

So there are 8 events in the sample space.

Conclusion:

Thus, the Sample Space of a sequence of three consecutive free throws is S={sss,ssf,sfs,sff,fsf,fss,ffs,fff}.

Answer 22

Expert Solution

To determine

(c)

To calculate:

The Sample Space for number of times the coin comes up a tail.

Answer to Problem 1E

Solution:

The Sample Space of the number of times the coin comes up tails is,

S={0,1,2,3}

Explanation of Solution

Given:

A coin is given for tossing.

Calculation:

When a coin is tossed three times, the outcome in each toss is either head (H) or tail (T).

Numbers of ways to get tail are:

No tail, one tail, two tails, and three tails in a sequence of three fair coin.

The Sample Space of the number of times the coin comes up tails is,

S={0,1,2,3}

Conclusion:

Thus, the Sample Space of the number of times the coin comes up tails is,

S={0,1,2,3}

Answer 23

Expert Solution

Answer 24

Expert Solution

Answer 25

Expert Solution

Answer 26

To determine

(c)

To calculate:

The Sample Space for number of times the coin comes up a tail.

Answer 27

Answer to Problem 1E

Solution:

The Sample Space of the number of times the coin comes up tails is,

S={0,1,2,3}

Answer 28

Explanation of Solution

Given:

A coin is given for tossing.

Calculation:

When a coin is tossed three times, the outcome in each toss is either head (H) or tail (T).

Numbers of ways to get tail are:

No tail, one tail, two tails, and three tails in a sequence of three fair coin.

The Sample Space of the number of times the coin comes up tails is,

S={0,1,2,3}

Conclusion:

Thus, the Sample Space of the number of times the coin comes up tails is,

S={0,1,2,3}

Answer 29

Expert Solution

To determine

(d)

To calculate:

The Sample Space of the number of times the free throw results in success.

Answer to Problem 1E

Solution:

The Sample Space of the number of times the free throw results in success is,

S={0,1,2,3}

Explanation of Solution

Given:

A coin is given for tossing.

Calculation:

When a ball is thrown three times, the outcome in each throw is either success (s) or failure (f).

Numbers of ways to get success:

No free throw results in success, one success, two successes, and three successes in a sequence of three free throws.

The Sample Space of the number of times the free throw results in success is,

S={0,1,2,3}

Conclusion:

Thus, the Sample Space of the number of times the free throw results in success is,

S={0,1,2,3}

Answer 30

Expert Solution

Answer 31

Expert Solution

Answer 32

Expert Solution

Answer 33

To determine

(d)

To calculate:

The Sample Space of the number of times the free throw results in success.

Answer 34

Answer to Problem 1E

Solution:

The Sample Space of the number of times the free throw results in success is,

S={0,1,2,3}

Answer 35

Explanation of Solution

Given:

A coin is given for tossing.

Calculation:

When a ball is thrown three times, the outcome in each throw is either success (s) or failure (f).

Numbers of ways to get success:

No free throw results in success, one success, two successes, and three successes in a sequence of three free throws.

The Sample Space of the number of times the free throw results in success is,

S={0,1,2,3}

Conclusion:

Thus, the Sample Space of the number of times the free throw results in success is,

S={0,1,2,3}

Answer 36

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Answer to Problem 1E

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