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Question

Why do we multiply the probability of independent events?


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Solution

Probability of independent events:

The probability of an event is the ratio of the number of favorable outcomes to the total number of outcomes.

We multiply the probabilities of individual events, to find the probability of both independent events occurring at the same time.

When two events A and B are independent, then

The probability of both independent events A and B happening together is:

PA∩B=PA·PB


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