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This equation computes the probability that two events will both happen. The inputs to this equation are the probability of event A and the probability of event B.
The probability that two events, event A and event B, may both occur is the product of their probabilities.
If there are half boys and half girls in a group of ten students, the probability of picking a girl, P(A) is 0.5, or 5 in ten.
If in the same group there is one person wearing a read shirt, then the probability, P(B) is 0.1, or 1 of ten.
If there is a random selection from the group, the probability that that selection will pick a girl wearing a red shirt, P(A and B), is equal to P(A)⋅P(B)=0.5⋅0.1=0.05
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