A box contains three pairs of blue gloves and two pairs of green gloves. Each pair consists of a left-hand glove and a right-hand glove. Each of the gloves is separate from its mate and thoroughly mixed together with the others in the box. If three gloves are randomly selected from the box, what is the probability that a matched set (i.e., a left- and right-hand glove of the same color) will be among the three gloves selected?
(A) 3/10
(B) 23/60
(C) 7/12
(D) 41/60
(E) 5/6
The OA is D. Its fairly simple when u find the probability of not getting a single pair. But hoping to get a direct solution without using the complementary method. Detailed explanations would be appreciated.
(A) 3/10
(B) 23/60
(C) 7/12
(D) 41/60
(E) 5/6
The OA is D. Its fairly simple when u find the probability of not getting a single pair. But hoping to get a direct solution without using the complementary method. Detailed explanations would be appreciated.
