Question

1. In a game, if you roll a 6 on a 6-sided number cube, you lose a turn.

(a) What is the probability that you roll a 6? Explain your reasoning.
(b) What is the probability that you don’t roll a 6? Explain your reasoning.
(c) What is the probability that you either roll a 6 or do not roll a 6? Explain your reasoning.
(d) Suppose you rolled the 6-sided number cube 120 times, how many times would you expect to roll a 6? Explain.

Answer 1

A) 1/6
B) 5/6
C) 1
D) 20

Step-by-step explanation:

A) There is one 6 on a 6-sided die, out of 6 numbers.

B) There are 5 numbers that are not 6 on a 6 sided die, out of 6 numbers.

C) P( 6 or ~6) = P(6) + P(~6) = 1/6 + 5/6 = 6/6 = 1

D) 1/6(120) = 120/6 = 20