Concept explainers
a.
To calculate the probability of rolling 2 on a dice, of rolling a 1 or a 6 on a dice, of rolling an odd number on a dice.
a.
Answer to Problem 13PPS
The probability of rolling 2 on a dice is
The probability of rolling 1 or 6 is
The probability of rolling odd number is
Explanation of Solution
Given information:
In a die, rolling a 2, rolling a 1 or 6, and rolling an odd number.
A dice consists of 6 number from 1 to 6 so consist 3 odd and 3 even number
Therefore, so the probability of rolling 2 on a dice is
The probability a 1 or a 6 is equal to addition of probability of rolling 1 and probability of rolling 6.
Therefore, probability of rolling 1 or 6 is
Therefore, probability of rolling odd number is
b.
To roll the dice 20 times and record the value of the dice after each roll.
b.
Answer to Problem 13PPS
After rolling a dice 20 times the result is,
Explanation of Solution
Given information:
The die roll 20 times.
After rolling a dice for 20 times assume to get the following result,
1 is get six times, 2 is get three times, 3 is get seven times, 4 is get zero times, 5 is get two times, 6 is get two times.
Therefore, it can be written as
c.
To calculate the probability distribution for
c.
Answer to Problem 13PPS
The table for the data is
1 | 0.3 |
2 | 0.15 |
3 | 0.35 |
4 | 0 |
5 | 0.1 |
6 | 0.1 |
Explanation of Solution
Given information:
The value of
Based on the result of rolling a dice 20 times,
Probability of getting 1 in 20 times is
Probability of getting 2 in 20 times is
Probability of getting 3 in 20 times is
Probability of getting 4 in 20 times is
Probability of getting 5 in 20 times is
Probability of getting 6 in 20 times is
Therefore, the table will be,
1 | 0.3 |
2 | 0.15 |
3 | 0.35 |
4 | 0 |
5 | 0.1 |
6 | 0.1 |
d.
To find why the number may not be same when the probability distribution is made on rolling a dice 2 times, on rolling 1 or 6 times and rolling to get an odd number
d.
Answer to Problem 13PPS
The probability of rolling 2 is 15%
The probability of rolling 1 or 6 is 40%
The probability of rolling an odd number is 75%
The first set of probabilities have prediction based on everything being equal. The second set were based on actually that happened.
Explanation of Solution
Given information:
In a die, rolling a 2, rolling a 1 or 6, and rolling an odd number.
1 | 0.3 |
2 | 0.15 |
3 | 0.35 |
4 | 0 |
5 | 0.1 |
6 | 0.1 |
From this table,
Probability of rolling 2 is
Probability of rolling 1 or 6 is
Probability of rolling an odd number is
Therefore,
The first set of probabilities have prediction based on everything being equal. The second set were based on actually that happened.
Chapter 12 Solutions
Algebra 1
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