Suppose a jar contains 8 red marbles and 36 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red.

Answer 1

Probability = number desired outcomes/total possible outcomes

first draw 8 red and 44 total marbles - probability draw red marble = 8/44 = 2/11

second draw 7 red and 43 total marbles - probability draw red marble = 7/43

probability draw two red marbles = 2/11 * 7/43 = 14/473