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

Answer 1

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 $\frac{1}{6}$

Let the number or sixes be 2

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

Therefore, the number of roles needed = $(6)^{2} = 36$