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

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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
ChapterCSR: Contents Of Student Resources
Section: Chapter Questions
Problem 6.6P
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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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