Question

Suppose a jar contains 15 red marbles and 29 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

There are a total of 44 marbles in the jar.

The probability of selecting a red marble on the first draw is 15/44.

After the first draw, there are 14 red marbles and 43 marbles left in the jar.

The probability of selecting a red marble on the second draw, without replacement, is 14/43.

Therefore, the probability of selecting two red marbles at random is:

(15/44) x (14/43) = 210/1892 ≈ 0.111

Explanation: