Solve using venn diagrams
a and b are events in a sample space S such that P(A)=0.7,P(B)0.4 and P(A and B) = 0.2.
a. draw a Venn diagram showing the overlapping sets A and B and fill in the probabilities of the four regions formed.
b. find the probability that A occurs but B doesn not.
c. find the probability that B occurs but A does not.
d. Find the probability that neither A nor B occurs.
e. Are events A and B independent?(That is, does P(A/B)=P(A)?)
All the questions neatly solved.