Answer:
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%)