Question

angela buys a bag of cookies that contains 6 chocolate chip cookies, 9 peanut butter cookies, 4 sugar cookies and 9 oatmeal cookies. what is the probability that angela reaches in the bag and randomly selects 2 sugar cookies from the bag? round your answer to four decimal places.

Answer 1

0.0159

Explanation:

There are 6 + 9 + 4 + 9 = 28 cookies in total

Ways to choose 2 cookies from all cookies = C(28, 2)

Ways to choose 2 cookies from 4 sugar cookies = C(4, 2)

Where C(n, k) represents the combination formula, which is n! / (k! * (n - k)!)

Probability = (Ways to choose 2 sugar cookies) / (Total ways to choose 2 cookies) = C(4, 2) / C(28, 2) = 6 / 378 ≈ 0.0159 rounded to four decimal places