Question

A coin is tossed, and number cube is rolled. What is the probability that the coin shows heads and the number cube shows 5?

Answer 1

Assuming that the coin and the number cube are fair and unbiased, the probability of getting heads on the coin is 1/2 and the probability of rolling a 5 on the number cube is 1/6. To find the probability of both events occurring together, we multiply the individual probabilities:

P(coin shows heads and number cube shows 5) = P(coin shows heads) × P(number cube shows 5) = 1/2 × 1/6 = 1/12

So the probability of getting heads on the coin and rolling a 5 on the number cube is 1/12 or about 0.083 or 8.3%.