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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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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 [tex]\frac{1}{6}[/tex]

Let the number or sixes be 2

The number of roles for the die is given the following: [tex](6)^{n}[/tex] where n is the number of sixes needed.

Therefore, the number of roles needed = [tex](6)^{2} = 36[/tex]