Question

Haley buys a bag of cookies that contains 9 chocolate chip cookies, 7 peanut butter cookies, 6 sugar cookies and 9 oatmeal cookies. What is the probability that Haley randomly selects a sugar cookie from the bag, eats it, then randomly selects a chocolate chip cookie? Probability = (Round your answer to 4 decimal places.)

Answer 1

The probability that Haley randomly selects a sugar cookie from the bag and then randomly selects a chocolate chip cookie is 0.0516.

Step-by-step explanation:

To find the probability that Haley randomly selects a sugar cookie from the bag and then randomly selects a chocolate chip cookie, we need to consider the total number of cookies and the number of sugar cookies and chocolate chip cookies in the bag.

Step 1: Find the probability of randomly selecting a sugar cookie. There are a total of 9 + 7 + 6 + 9 = 31 cookies in the bag. The probability of selecting a sugar cookie is 6 / 31.

Step 2: Find the probability of randomly selecting a chocolate chip cookie after eating the sugar cookie. After eating the sugar cookie, there are 30 cookies left in the bag, including 8 chocolate chip cookies. So the probability of selecting a chocolate chip cookie is 8 / 30.

Therefore, the probability that Haley randomly selects a sugar cookie and then a chocolate chip cookie is (6 / 31) * (8 / 30) = 48 / 930 = 0.0516 (rounded to 4 decimal places).