Two people took turns tossing a fair die until one of them

Chapter 3, Problem 80E

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QUESTION:

Problem 80E

Two people took turns tossing a fair die until one of them tossed a 6. Person A tossed first, B second, A third, and so on. Given that person B threw the first 6, what is the probability that B obtained the first 6 on her second toss (that is, on the fourth toss overall)?

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QUESTION:

Problem 80E

Two people took turns tossing a fair die until one of them tossed a 6. Person A tossed first, B second, A third, and so on. Given that person B threw the first 6, what is the probability that B obtained the first 6 on her second toss (that is, on the fourth toss overall)?

ANSWER:

 Solution:

Step 1 of 2:

    Given, two people took turns tossing a fair die until one of them tossed a 6.

Person A tossed first, B second, A third and so on.

 Here we have to find the probability that B obtained the first 6 on her second toss.


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