Question

If a coin is flipped and then a six-sided number cube is rolled, what is the probability that the outcome will be Heads and a 2?

Answer 1

The probability is 1/12.

There are two outcomes for flipping a coin and 6 for rolling a 6-sided number cube.  The sample space is:
(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6)
(T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)

There are 12 total outcomes.  Only one has heads and a 2, so the probability is 1/12.