If two events are independent, the probability of both events occurring is the product of their individual probability. Events A and B are independent with P(A) = 0.3 and P(B) = 0.25.

Question

What is the probability of events A and B happening at the same time?

Answer 1

Since events A and B are independent, the probability of both events happening at the same time is the product of their individual probabilities:

P(A and B) = P(A) * P(B)
P(A and B) = 0.3 * 0.25
P(A and B) = 0.075

Therefore, the probability of events A and B happening at the same time is 0.075 or 7.5%.