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A die is continually rolled until the total sum ofall

Chapter 8, Problem 8.6

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QUESTION:

A die is continually rolled until the total sum of all rolls exceeds 300. Approximate the probability that at least 80 rolls are necessary.

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QUESTION:

A die is continually rolled until the total sum of all rolls exceeds 300. Approximate the probability that at least 80 rolls are necessary.

ANSWER:

Problem 8.6

A die is continually rolled until the total sum of all rolls exceeds 300. Approximate the probability that at least 80 rolls are necessary.

                                                              Step by Step Solution

Step 1 of 2

Let,  be the result of roll i.

We know that,

 ‘s are independent

If at least 80 rolls are necessary, then the total of the first 79 rolls is at most 300.

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