Answer:
the probability is 0.4642 (46.42%)
Step-by-step explanation:
for the events E and F such that
N(E ∩ F) = 250 and N(E) = 560
where N represents the number of elements in that set , we can use the theorem of Bayes for conditional probability .Then representing N total =N(E∪F) , we have that the probability is
P( F|E ) = P (E ∩ F)/ P(E) = [N(E ∩ F) / N total]/ [N(E) / N total ] = N(E ∩ F)/ N(E) = 250/560 = 0.4642 (46.42%)