Question

What is the known probability when two events will both occur such that the probabilities of the individual events are from its product?

Answer 1

The probability that two independent events will both occur can be calculated by multiplying the probabilities of the individual events. If event A has probability p(A) and event B has probability p(B), then the probability that both events A and B occur is given by:

p(A and B) = p(A) * p(B)

This relationship holds because the occurrence of event A does not affect the occurrence of event B, and vice versa. Hence, the two events are considered to be independent.

For example, if event A has a probability of 0.6 of occurring and event B has a probability of 0.7 of occurring, then the probability that both events will occur is 0.6 * 0.7 = 0.42.