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?

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.

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throwdolbeau throwdolbeau · Answer 2 · 2019-05-21T09:03:47+02:00

Answer:

[tex]\bf\textbf{Probability of selecting exactly two $5 bill }=\frac{1}{7}[/tex]

Step-by-step 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

[tex]\text{Probability of selecting one $5 bill }\frac{3}{7}[/tex]

[tex]\text{Probability of selecting second $5 bill }\frac{2}{6}[/tex]

[tex]\bf\textbf{Probability of selecting exactly two $5 bill = }\frac{3}{7}\times \frac{2}{6}=\frac{1}{7}[/tex]