you are serving cookies at a party, the party tray has eight chocolate chip cookies, five sugar cookies, and seven oatmeal raisin cookies. What is the probability that the first person will take and keep a sugar cookie in the second person will take a chocolate chip cookie. write your answer as simplified fraction.
There are a total of 8 + 5 + 7 = 20 cookies in the tray.
The probability that the first person takes and keeps a sugar cookie is 5/20 = 1/4.
After the first person takes a sugar cookie, there are 20 - 1 = 19 cookies left in the tray.
The probability that the second person takes a chocolate chip cookie is 8/19.
Therefore, the probability that the first person takes a sugar cookie and the second person takes a chocolate chip cookie is (1/4) * (8/19) = 8/76.
So, the answer is 8/76, which can be simplified to 1/19.