There are 10 boxes in a grab bag boxes are identical except for its at 7 of them contain $20 bills a contest winner gets too pick two boxes from the grab bag which is the probability of getting two $20 bills

Mathematics · College · Tue Nov 03 2020

Answered on

Given:

10 Identical Boxes, 7 of which contain $20 bills.

Find the probability of getting two $20 bills.

Solution:

We must first determine what is the percentage of taking a $20 bill from 10 boxes. Since 7 contains $20 bills, we can divide 7 by 10 to know the probability.

= 7/10

= 0.7

Change the decimal into percentage. In order to do so, multiply the decimal by 100, hence in changing a percentage into decimal, divide the percentage by 100.

= (0.7)(100)

= 70%

Since we are asked to find the probability of getting two $20 bills, we will divide 70% by 2. 

= 70%/2

= 35%

The probability of getting two $20 bills is 35%.