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.

Question

Mathematics

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29 October, 15:48

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.

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Answers (1)

Know the Answer?

Moshe Moyer · Answer 1

A) 1/6

B) 5/6

C) 1

D) 20

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