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%)