Suppose that E and F are two events and that Upper N (Upper E and Upper F )equals480 and Upper N (Upper E )equals970. What is Upper P (F|E )?

P(F|E) is 0.494 (49.4%)

Step-by-step explanation:

according to Bayes's theorem

P(F|E) = P(F∩E)/P(E) = (N(F∩E)/total number of elements) /( N(E)/total number of elements )= N(F∩E)/N(E)

replacing values

P(F|E) = N(F∩E)/N(E) = 480/970 = 0.494 (49.4%)

thus P(F|E) (probability that F occurs given that E has occurred ) is 0.494 (49.4%)

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