Question

Riya buys a bag of cookies that contains 8 chocolate chip cookies, 6 peanut butter cookies, 6 sugar cookies and 4 oatmeal cookies. What is the probability that Riya reaches in the bag and randomly selects 2 oatmeal cookies from the bag?

Answer 1

To find the probability of selecting 2 oatmeal cookies, use the combination formula to calculate the number of ways to select 2 oatmeal cookies and the total number of possible cookie selections. The probability is 1/46.

Step-by-step explanation:

To find the probability that Riya randomly selects 2 oatmeal cookies from the bag, we need to calculate the number of ways she can select 2 oatmeal cookies divided by the total number of possible cookie selections.

There are 4 oatmeal cookies in the bag, so the number of ways she can select 2 oatmeal cookies is given by the combination formula: C(4,2) = 4! / (2!(4-2)!) = 6.

The total number of possible cookie selections is given by the combination formula: C(24,2) = 24! / (2!(24-2)!) = 276.

Therefore, the probability of selecting 2 oatmeal cookies from the bag is 6/276 = 1/46.