If E and F are two events associated with the same sample space of a random experiment then P(E|F) is given by __________
Question
If E and F are two events associated with the same sample space of a random experiment then P(E|F) is given by __________
Solution
P(E|F) is given by the probability of event E given that event F has already occurred. This is calculated using the formula:
P(E|F) = P(E ∩ F) / P(F)
Here, P(E ∩ F) is the probability of both events E and F occurring, P(F) is the probability of event F occurring.
This is known as the conditional probability of E given F.
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