for 1 die, find: (a) P (roll a "7") (b) P (roll a "multiple of 3")

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter21: Direct And Inverse Proportions
Section: Chapter Questions
Problem 2A: Find the nearer fraction equivalent of 0.647 using the decimal equivalent table.
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for 1 die, find:

(a) P (roll a "7")

(b) P (roll a "multiple of 3")

Expert Solution
Step 1

a.finding the probability that the die comes up value 7:

It is given that die is rolled one time.

When a six sided die is rolled one time, the probability of each outcome is 1/6.

The sample space when a die is rolled is {1,2,3,4,5,6} and all outcomes are equally likely.

The sample space does not contain the value 7. Thus, the probability of rolling a 7 is 0.

In other words, the probability that the die comes up value 7 is obtained as follows:

P(Event) Total mumber of favourable cases
Total number of cases
P(Rolling a 7)
6
=0
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