Question

The probability for success of an event is P(A), and the probability of success of a second, independent event is P(B). What is the probability of both events occurring, in that order?

a) P(A) • P(B)
b) P(A + B)
c) P(A x B)
d) P(A) + P(B)

Answer 1

The probability of two independent events A and B both occurring is the product of their individual probabilities, P(A) • P(B), following the Product Rule for independent events.

Step-by-step explanation:

The probability of both independent events A and B occurring, in that order, is the product of their individual probabilities. This is depicted by the formula P(A AND B) = P(A)P(B), which is known as the Product Rule for independent events. Therefore, the correct answer is option a) P(A) • P(B).