SOLUTION: A jar contains 17 one dollar bills and 8 five dollar bills. A. If you reach in and grab two bills without looking what is the probability that both are one dollar bills? B.

Algebra ->  Probability-and-statistics -> SOLUTION: A jar contains 17 one dollar bills and 8 five dollar bills. A. If you reach in and grab two bills without looking what is the probability that both are one dollar bills? B.       Log On


   

Question 1178535: A jar contains 17 one dollar bills and 8 five dollar bills.
A. If you reach in and grab two bills without looking what is the probability that both are one dollar bills?
B. If your reach in and grab two bills without looking, what is the probability that you get one of each bill.
Explain your answers.
Answer by ikleyn(53937) About Me  (Show Source):
You can put this solution on YOUR website!
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A jar contains 17 one dollar bills and 8 five dollar bills.
A. If you reach in and grab two bills without looking what is the probability that both are one dollar bills?
B. If your reach in and grab two bills without looking, what is the probability that you get one of each bill.
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In all, there are 17+8 = 25 bills in the jar.



(A)  The probability to grab both 1-dollar bills is  

         P = P(1st is 1-dollar bill)*P(2nd is 1-dollar bill) = %2817%2F25%29%2A%2816%2F24%29 = %2817%2F25%29%2A%282%2F3%29 = 34%2F75 = 0.4533.    ANSWER




(B)  The probability to grab both of each bill is  


         P = P(1-st is 1-dollar bill)*P(next is 5-dollar bill) + P(1-st is 5-dollar bill)*P(next is 1-dollar bill) =  

             %2817%2F25%29%2A%288%2F24%29 + %288%2F25%29%2A%2817%2F24%29 = %2817%2A8%2B8%2A17%29%2F%2825%2A24%29 = 272%2F600 = 34%2F75 = 0.4533.     ANSWER


Solved, answered and explained. And completed.