Acash register contains 5 $10 bills and 3 $5 bills. you randomly pick 4 bills. a. what is the probability you pick exactly two $10 bills? b. what is the probability you pick at most one $5 bill?

a. The probability of picking exactly two $10 bills is

b. The probability of picking at most one $5 bill is

Explanation

Number of $10 bills

and number of $5 bills

Total number of bills= 5+3 = 8. You need to randomly pick 4 bills, so the total possible outcome

a.

For getting exactly two $10 bills, you need to pick two $10 bills and two $5 bills. That means we will pick two $10 bill from 5 bills and two $5 bills from 3 bills.

So, the probability

b.

For getting at most one $5 bill, you need to pick either zero or one $5 bill.

If you pick zero  $5 bill, that means there are  four  $10 bills

and if you pick one  $5 bill, that means there are three  $10 bills.

So, the probability