STATISTICS QUESTIONS USING COOKIES

Question

Russell buys a bag of cookies that contains 6 chocolate chip cookies, 7 peanut butter cookies, 4 sugar cookies and 6 oatmeal cookies.

What is the probability that Russell reaches in the bag and randomly selects a peanut butter cookie from the bag, eats it, then reaches back in the bag and randomly selects a chocolate chip cookie?

  

Give your answer as a fraction, or accurate to at least 4 decimal places.

Answer 1

P(selects peanut butter cookie, eats it, then selects chocolate chip cookie) =

(7/23) x (6/22) = 42/506 --> 21/253