A coin is tossed, and the number cube is rolling. What is P(H, then prime numbers)

Answer 1

The probability of getting a heads on the coin toss is 1/2.

The probability of getting a prime number on a number cube roll is 3/6 or 1/2 (assuming the cube has sides numbered 1 through 6).

To find the probability of both events happening together (getting a heads AND a prime number), you must multiply the probabilities:

P(H, then prime numbers) = P(H) x P(prime numbers)

P(H, then prime numbers) = 1/2 x 1/2

P(H, then prime numbers) = 1/4

Therefore, the probability of getting a heads on a coin toss AND rolling a prime number on a number cube is 1/4 or 25%.