Question

At Kenner Country Club, 45% of the members swim. If 3 people are selected at random, what is the probability that all three will say they swim at the club?

Answer 1

Explanation:

so, we pick the first one. the probability this person swims is 0.45.

if yes, then we pick the second one. this one has also a probability of swimming of 0.45.

combined with the probability of the first one being a swimmer this is now 0.45×0.45.

the same with the third pick.

and we have the probability that all 3 swim of

0.45×0.45×0.45 = 0.45³ = 0.091125

that is rounded about 0.09 or 9%.