Question

Kieran’s wallet contains 7 bills: three $5 bills, two $10 bills, one $20 bill, and one $100 bill. if kieran pulls out two bills at random, what is the probability that he selects exactly two $5 bills?

Answer 1

There are 7 bills, and three $5 bills. So out of 7 bills, the chance of getting exactly two $5 bills will be 3/7 , as there are 3  $5 bills and all you need to do is selecting any 2 of them.

Answer 2

`\bf\textbf{Probability of selecting exactly two $5 bill }=(1)/(7)`

Explanation:

Total number of bills in the wallet = 7

Total number of $5 bills in the wallet = 3

Total number of $10 bills in the wallet = 2

Total number of $20 bill in the wallet = 1

Total number of $100 bill in the wallet = 1

We need to find the probability that he selects exactly two $5 bills.

Number of favorable outcomes = 3

`\text{Probability of selecting one $5 bill }(3)/(7)`

`\text{Probability of selecting second $5 bill }(2)/(6)`

`\bf\textbf{Probability of selecting exactly two $5 bill = }(3)/(7)* (2)/(6)=(1)/(7)`