A pair of fair dice is rolled. Fair die are die where each outcome is equally likely.

(a) Compute the probability of rolling a seven.

(b) Compute the probability of rolling “snake eyes”; that is, compute the probability of rolling a two.

(c) Comment on the likelihood of rolling a seven versus rolling a two.

Approach To compute probabilities using the classical method, count the number of outcomes in the sample space and count the number of ways the event can occur. Then, divide the number of outcomes by the number of ways the event can occur.