Armando buys a bag of cookies that contains 6 chocolate chip cookies, 7 peanut butter cookies, 4 sugar cookies and 7 oatmeal cookies. What is the probability that Armando reaches in the bag and randomly selects 2 sugar cookies from the bag? Round your answer to four decimal places.

0.0476

Step-by-step explanation:

Given:

Armando buys a bag of cookies that contains 6 chocolate chip cookies, 7 peanut butter cookies, 4 sugar cookies and 7 oatmeal cookies.

Question asked:

What is the probability that he chosen randomly 2 sugar cookies from the bag?

Solution:

As we know:

First of all we will find favorable outcome for choosing 2 sugar cookies from the bag randomly:

Favorable outcome for choosing 2 sugar cookies out of 6 chocolate chip cookies =

Favorable outcome for choosing 2 sugar cookies out of 7 peanut butter cookies =

Favorable outcome for choosing 2 sugar cookies out of 4 sugar cookies =

Favorable outcome for choosing 2 sugar cookies out of 7 oatmeal cookies =

Thus, total Favorable outcome for choosing 2 sugar cookies =

By using:

Total outcome for choosing 2 sugar cookies out of 24 cookies =

= =

Now,

Thus, the probability that Armando reaches in the bag and randomly selects 2 sugar cookies from the bag is 0.0476