If Quinn tosses a fair coin and then rolls a fair number cube labeled 1 through 6, what is the probability of tossing heads followed by rolling a number less than 3?

Question

A. 1/3

B. 6

C. 1/6

D. 1/4

Answer 1

D. 1/4

There are 2 outcomes for tossing heads (heads or tails) and 2 outcomes for rolling a number less than 3 (1 or 2). So, the total number of favorable outcomes is 1 (heads and rolling a 1) and the total number of possible outcomes is 2 x 6 = 12. Thus, the probability is 1/12 which simplifies to 1/4.