Help! Let's say we are interested in the probability number of heads on the 3coins flipped. To find the probabilities for each of the possibleoutcomes, we will use the multiplication rule.COIN 1COIN 2COIN 3ProbabilityH3 Heads: P(H) & PIH) & PIH) = 1/2- 1/2- 1/2= (1/2) = 1/81/22 Heads: P(H) & PIHO & P(T) = 1/2 - 1/2 - 1/2 = (/2 = 1/8H12H2 Heads: P(H) & PIT) & PIH) = 1/2-1/2- 1/2 = (/2) = 1/81/21/2HT2 Tails: PIH) & P(T) & PIT) = 1/2 - 1/2- 1/2 - (1/2) - 1/81/21/21/2Start-H2 Heads: P(T) & P(H) & P(H) = 1/2- 1/2 - 1/2 = (/2) - 1/81/2H.1/21/21/22 Tails: P(T) & PIH) & PIT) = 1/2-1/2-1/2 - (1/2-1= 1/81/2H2 Tails: PIT) & PIT) & PIH) = 1/2 - 1/2- 1/2 - (1/2 - 1/1/2т3Tais: PIT) & PIT) & PIT) = 1/2- 1/2 - 1/2= (1/2) = 1/8The sample space of the number of heads when three coins are tossedis O heads (TTT), 1 head (HTT, THT,TTH), 2 heads (HHT, THH, HTH), 3 heads (H HH). To find the probability ofeach of the outcomes in this sample space, we will use the additionrule. Example: P(1 head) = P(HTT or THT orTTH) = ++ =%3D38Heads, x0 1 2 31Probability, P(x) § § 8 83 Now use the histogram or table to answer the following questions.1. What is the probability of flipping 3 coins and all three landing onheads? P( H ) =|(Enter your answer as a decimal. Donot round.) HINT: Change the fraction to a decimal.2. What is the probability of flipping 3 coins and getting 1 or 3heads? P( H ) + + P( T) =(Enter the outcomes innumerical order. Enter your final answer only. Use the decimalform of the probability. Do not round.)3. What is the probability of flipping 3 coins and not getting 2(Enter the final answer only. Useheads? P(x + 2) = 6decimal form of the probability. Do not round.)

Name: Help! Let's say we are interested in the probability number of heads o
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Description: Help! Let's say we are interested in the probability number of heads on the 3coins flipped. To find the probabilities for each of the possibleoutcomes, we will use the multiplication rule.COIN 1COIN 2COIN 3ProbabilityH3 Heads: P(H) & PIH) & PIH) = 1/

From the given table, We see that P(H)= (1/8)= 0.125

Math

Probability

Now use the histogram or table to answer the following questions. 1. What is the probability of flipping 3 coins and all three landing on heads? P( H ) = | (Enter your answer as a decimal. Do not round.) HINT: Change the fraction to a decimal. 2. What is the probability of flipping 3 coins and getting 1 or 3 heads? P( H) + + P( T) (Enter the outcomes in numerical order. Enter your final answer only. Use the decimal form of the probability. Do not round.) 3. What is the probability of flipping 3 coins and not getting 2 heads? P(x + 2) = 6 (Enter the final answer only. Use decimal form of the probability. Do not round.)

Now use the histogram or table to answer the following questions. 1. What is the probability of flipping 3 coins and all three landing on heads? P( H ) = | (Enter your answer as a decimal. Do not round.) HINT: Change the fraction to a decimal. 2. What is the probability of flipping 3 coins and getting 1 or 3 heads? P( H) + + P( T) (Enter the outcomes in numerical order. Enter your final answer only. Use the decimal form of the probability. Do not round.) 3. What is the probability of flipping 3 coins and not getting 2 heads? P(x + 2) = 6 (Enter the final answer only. Use decimal form of the probability. Do not round.)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Help!

Let's say we are interested in the probability number of heads on the 3
coins flipped. To find the probabilities for each of the possible
outcomes, we will use the multiplication rule.
COIN 1
COIN 2
COIN 3
Probability
H
3 Heads: P(H) & PIH) & PIH) = 1/2- 1/2- 1/2= (1/2) = 1/8
1/2
2 Heads: P(H) & PIHO & P(T) = 1/2 - 1/2 - 1/2 = (/2 = 1/8
H12
H
2 Heads: P(H) & PIT) & PIH) = 1/2-1/2- 1/2 = (/2) = 1/8
1/2
1/2
H
T
2 Tails: PIH) & P(T) & PIT) = 1/2 - 1/2- 1/2 - (1/2) - 1/8
1/2
1/2
1/2
Start-
H
2 Heads: P(T) & P(H) & P(H) = 1/2- 1/2 - 1/2 = (/2) - 1/8
1/2
H.
1/2
1/2
1/2
2 Tails: P(T) & PIH) & PIT) = 1/2-1/2-1/2 - (1/2-1
= 1/8
1/2
H
2 Tails: PIT) & PIT) & PIH) = 1/2 - 1/2- 1/2 - (1/2 - 1/
1/2
т
3Tais: PIT) & PIT) & PIT) = 1/2- 1/2 - 1/2= (1/2) = 1/8
The sample space of the number of heads when three coins are tossed
is O heads (TTT), 1 head (HTT, THT,TTH), 2 heads (
HHT, THH, HTH), 3 heads (H HH). To find the probability of
each of the outcomes in this sample space, we will use the addition
rule. Example: P(1 head) = P(HTT or THT or
TTH) = ++ =
%3D
3
8
Heads, x
0 1 2 3
1
Probability, P(x) § § 8 8
3

Now use the histogram or table to answer the following questions.
1. What is the probability of flipping 3 coins and all three landing on
heads? P( H ) =
|(Enter your answer as a decimal. Do
not round.) HINT: Change the fraction to a decimal.
2. What is the probability of flipping 3 coins and getting 1 or 3
heads? P( H ) + + P( T) =
(Enter the outcomes in
numerical order. Enter your final answer only. Use the decimal
form of the probability. Do not round.)
3. What is the probability of flipping 3 coins and not getting 2
(Enter the final answer only. Use
heads? P(x + 2) = 6
decimal form of the probability. Do not round.)

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