Prove that if P(A) = 0, then P(A B) = 0. (It is NOT true that PM) = 0 implies that A = 6.) An urn contains twenty-four chips, numbered 1 through 24. One is drawn at random. Let A be the event that the number is divisible by 2 and let B the event that the number is divisible by 3. Find P{A U B). Events A and B are dened on a sample space S such that P {[A U BF} = 0.5 and P{AB) = 0.2. What is the probability that either A or B but not both occur? If A1, . . . ,An are events in the sample size S, show that the probability that at least one of the events occurs is one minus the probability that none of them occur. That is, P(A1oA2o...oAn)=1P[AnAgn...nA;).