Question

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) the probability is 1 in 6 (1/6); there are six numbers and only one is 6, therefore 1 in 6
B) the probability is 5 in 6 (5/6); there are 6 numbers and only one is not 6, therefore 5 in 6
C) the probability of rolling a 6 is 1 in 6 and the probability of not rolling a 6 is 5 in 6
D) the probability is again 1 in 6 (1/6); 120 divided by 6 is 20, and 20/120 simplifies to 1/6
thats the best i can do to explain