What is the probability that the coin shows heads and the number cube shows 1,3 or 4?

Question

A coin is tossed and a number cube is rolled. What is the probability that the coin shows heads and the number cube shows 1,3 or 4?

Answer 1

If we assume a fair coin and a fair number cube, the chances of hitting heads on a coin is 50% (1/2) and the chance of rolling a 1, 3, or 4 is also 50% (1/2). Therefore we multiply these probabilities together to get 25%, or 1/4.