## Exercise 2.66. You are given a fair die. You must decide ahead of time how many times to roll. If you get exactly 2 sixes, you get a prize.

Question

Exercise 2.66. You are given a fair die. You must decide ahead of time how many times to roll. If you get exactly 2 sixes, you get a prize. How many rolls should you take to maximize your chances and what are the chances of winning

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2021-09-19T03:06:34+00:00
2021-09-19T03:06:34+00:00 1 Answer
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## Answers ( )

Answer:The number of rolls = 36

Step-by-step explanation:Thinking process:

A die has six sides (6).

Thus, the probability of striking a 6 is

Let the number or sixes be 2

The number of roles for the die is given the following: where n is the number of sixes needed.

Therefore, the number of roles needed =