You are serving cookies at a party. The party tray holds 8 chocolate chip cookies, 5 sugar cookies, and 7 oatmeal raisin cookies. What is the probability that the first person will take and keep a sugar cookie and the second person will take a chocolate chip cookie? Write your answer as a simplified fraction.(1 point)
There are a total of 8 + 5 + 7 = 20 cookies on the party tray.
The probability that the first person will take and keep a sugar cookie is 5/20 = 1/4, since there are 5 sugar cookies and 20 total cookies.
After the first person takes and keeps a sugar cookie, there will be 20 - 1 = 19 cookies left on the tray.
The probability that the second person will take a chocolate chip cookie is 8/19, since there are 8 chocolate chip cookies and 19 total cookies remaining.
Therefore, the probability that the first person will take a sugar cookie and the second person will take a chocolate chip cookie is (1/4) * (8/19) = 8/76.
This can be simplified to 1/19. Answer: \boxed{\frac{1}{19}}.