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Find the probability of the indicated event if P(E) and P(F) are given. Also, find P(E and F) if P(E or F) is given.

User Akaedintov
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Final answer:

To find the probability of an event given another event, use the formula P(E|F) = P(E and F) / P(F). To find P(E and F) given P(E or F), use the formula P(E and F) = P(E or F) - P(E) - P(F).

Step-by-step explanation:

To find the probability of the indicated event P(E|F), we need to use the formula P(E|F) = P(E and F) / P(F). Given that E and F are mutually exclusive events, the probability of their intersection P(E and F) is 0. P(F) is given as 0.5, so the probability of E given F is 0 / 0.5 = 0.

To find P(E and F) if P(E or F) is given, we can use the formula P(E or F) = P(E) + P(F) - P(E and F). Rearranging this formula, we can calculate P(E and F) as P(E or F) - P(E) - P(F).

User Ben Elgar
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