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Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 2 - Problem 82e
Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 2 - Problem 82e

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# Consider independently rolling two fair dice, one red and

ISBN: 9780321629111 32

## Solution for problem 82E Chapter 2

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 82E

Consider independently rolling two fair dice, one red and the other green. Let ?A be the event that the red die shows 3 dots, ?B ?be the event that the green die shows 4 dots, and ?C ?be the event that the total number of dots showing on the two dice is 7. Are these events pairwise independent (i.e., are ?A ?and ?B ?independent events, are A ?and ?C ?independent, and are ?B ?and ?C ?independent)? Are the three events mutually independent?

Step-by-Step Solution:

Answer Step 1 of 6 The probability of each of these events is 1/6. P(A)=, P(B)=, P(c)=1/6 If P(A B) = P(A)*P(B), then the events A and B are independent.

Step 2 of 6

Step 3 of 6

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