EXAMPLE 3.5.3

Suppose that survey of hawks reveals that 40% of them agree with the statement "Poodles are tasty." If two hawks are independently selected, what is the probability that neither of them agree that "Poodles are tasty?"

A. .8

B. .6

C. .36

D. .64

SOLUTION

Let E be the event that the first hawk disagrees with the statement. Then P(E) = .6 (60% disagree). Let F be the event that the second hawk disagrees; then P(F) = .6. Thus,