Question

Chance buys a bag of cookies that contains 9 chocolate chip cookies, 8 peanut butter cookies, 8 sugar cookiesand 7 oatmeal cookies. What is the probability that Chance randomly selects a chocolate chip cookie from thebag, eats it, then randomly selects a sugar cookie? Express you answer as a reduced fraction.

Answer 1

9 chocolate chip cookies, 8 peanut butter cookies, 8 sugar cookies,and 7 oatmeal cookies= 32 total cookies

1st cookie

P(chocolate chip) = chocolate chip/ total = 9/32

We eat the cookie

Now there is 1 less chocolate chip cookie left

8 chocolate chip cookies, 8 peanut butter cookies, 8 sugar cookies,and 7 oatmeal cookies= 31 total cookies

2nd cookie

P( sugar) = sugar/total = 8/31

P( chocolate, eaten, sugar) = 9/32 * 8/31 = 9/31 * 8/32 = 9/31 * 1/4 = 9/124

Answer 9/124