Question

math help A chef draws cookies randomly from a box containing 6 cookies of the same shape and size. There is 1 chocolate cookie, 3 almond cookies, and 2 butter cookies. He draws 1 cookie and then draws another cookie without replacing the first one. Find the probability of picking 1 almond cookie followed by another almond cookie, and show the equation used.

Answer 1

at the beginning there are 3 almond cookies out of 6 total cookies

so the probability of getting the first almond cookie is (3/6)

after the first almond cookie is drawn there are only 2 almond cookies left out of 5 total cookies, because we don't put the first almond cookie back in ("no replacement")

--> (3/6)(2/5), multiply this out