Question

The drawer contains 18 spoons and 12 forks. you randomly choose two utensils. What is the probability that both utensils are spoons?

Answer 1

Answer:8.52%

Explanation:

There are 14 utensils in the drawer, and then there will be one less in the bowl after each successive utensil is removed. There are then 3 possibilities for the same kind being removed on all pulls:

P(3 spoons) = (6/14)*(5/13)*(4/12)

P(3 forks) = (5/14)*(4/13)*(3/12)

P(3 knives) = (3/14)*(2/13)*(1/12)

Add all of these outcomes together and you'd get about 8.52%