To find the probability of two independent events A and B occurring together, you need to multiply their individual probabilities. This means that if you know the probability of event A happening and the probability of event B happening, you can find the probability of both events happening simultaneously by using the formula:
P(A and B) = P(A) × P(B)
For example, if the probability of event A is 0.5 and the probability of event B is 0.3, then the probability of both events A and B occurring together would be:
P(A and B) = 0.5 × 0.3 = 0.15
This multiplication rule works specifically because events A and B are independent, meaning the occurrence of one event does not affect the occurrence of the other. Thus, finding the joint probability through multiplication reflects the idea that each event contributes equally and separately to the total likelihood of both happening.