Question

If the probability of one event occurring is .40 and the probability of a second event occurring is 0.60, then the probability that both events will occur must be 1.0 since that is the maximum value a probability can be. select one:

a. True
b. False

Answer 1

Let
`P(A)=0.4` and
`P(B)=0.6`. The the probability both events occurring
`P(AB)=P(A)P(B|A)=P(B)P(A|B)`.

This shows
`image`

If A and B are independent

`P(AB)=P(A)P(B)=0.4*0.6=0.24`

Thus, the statement is (B) False.