Direction: Study the following information carefully to answer the question the question that follow.
A box contains 2 blue caps, 4 red caps, 5 green caps and 1 yellow cap.
-
If three caps are picked at random, what is the probability that two are red and one is green ?
-
- 9/22
- 6/19
- 1/6
- 3/22
Correct Option: D
Total number of caps = 12
∴ n(S) = 12C3 = 220
n(E1) = Out of 4 red caps, number of ways to pick 2 caps = 4C2 = 6
n(E2) = Out of 5 green caps
Number of ways to pick one cap = 5C1 = 5
P(E) = n(E1) x n(E2)/n(S) = (6 x 5)/220 = 3/22
