Consider two eventsAandB such thatP(B|A)=0.3 P(A)=0.7 and P(B)=0.4

(a)Based on the information above one of the statements below is correct. Which is it?

1. Given that eventBhas occurred, eventA^Cis more likely to occur than eventA.
2. Given that eventBhas occurred, eventAis more likely to occur than eventA^C.
3. The probability of eventBnot occurring is equal to0.4
4. Given that eventAhas occurred, eventBis more likely to occur than eventB^c.
5. The probability of eventAnot occurring is equal to0.6

(b)Based on the information provided to you above, one of the statements below is correct. Which is it?

1. P(A|B) is greater thanP(A)
2. P(AB) is greater thanP(B|A)
3. P(AB) is greater thanP(A|B)
4. P(A|B) is greater thanP(B|A)
5. P(AB) is greater thanP(B)