Question

Question 1 (Essay Worth 10 points) (07.02 HC) A chef draws cookies randomly from a box containing 6 cookies of the same shape and size. There Is 1 chocolate cookle, 3 almond cookies, and 2 butter cookies. He draws 1 cookle 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

Probability of picking two almond cookies = 1 / 5

Calculation of Probability Probability Formula = Favourable outcomes / Total outcomes Total outcomes, given = 6 cookies Pr (first almond cookie) = 3 / 6 Pr (second almond cookie), without replacement = 2 / 5 So, Prob (Two almond cookies) = ( 3 / 6 ) x ( 2 / 5 ) 6 / 30 = 1 / 5