SOLUTION: A survey by the American Automobile Association (AAA) revealed 60 percent of the members made airline reservations last year. Two members are selected at random. What is the probab
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Question 974349: A survey by the American Automobile Association (AAA) revealed 60 percent of the members made airline reservations last year. Two members are selected at random. What is the probability that both made airline reservations last year?
Answer by farohw(175) (Show Source): You can put this solution on YOUR website!
Let P = probability = 60%, R1 = airline reservation of first member and R2 = airline reservation of second member.
Probability that first member made an airline reservation last year is .60, or P(R1) = .60
Probability second member made a reservation is .60, therefore P(R2) = .60
Since both members were selected randomly, we assume they are independent meaning one has no effect on the probability of the other,
P(R1 and R2) = P(R1)* P(R2) = (.60)*(.60) = .36
Therefore, the probability (P) that both made airline reservations last year is .36 or 36%.
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