Question

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

[AI-generated answer — Bot GPT 3.5]

To find the probability of picking 1 almond cookie followed by another almond cookie, we need to first calculate the total number of ways to pick 2 cookies out of the 6.

Total number of ways to pick 2 cookies = 6C2 = 15

Next, we need to calculate the number of ways to pick 1 almond cookie followed by another almond cookie. Since there are 3 almond cookies in total, the probability of picking an almond cookie followed by another almond cookie is:

P(Almond, Almond) = (3/6) * (2/5) = 6/30 = 1/5

Therefore, the probability of picking 1 almond cookie followed by another almond cookie is 1/5.