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