Calculating the Probability of Two Events Happening at the Same Time

When calculating the probability of two events happening at the same time, you can use the formula:

[ P(A \cap B) = P(A) \times P(B|A) ]

where ( P(A) ) is the probability of event A and ( P(B|A) ) is the conditional probability of event B given that event A has occurred. In simpler terms, you multiply the probability of the first event by the probability of the second event happening after the first event has occurred. This can be a crucial concept in understanding the likelihood of compound events in probability and statistics.