Direction: Study the given information carefully and answer the question that follow.
An urn contains 6 red, 4 blue, 2 green and 3 yellow marbles.
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If two marbles are picked at random, what is the probability that either both are green or both are yellow ?
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- 5/91
- 1/35
- 1/3
- 4/105
Correct Option: D
Ways of selection of two green marbles = 2C2 = 1
Ways of selection of two yellow marbles = 3C2 = 3
So, probability (both are green) = 1/15C2 ....(I)
Probability (both are yellow) = 3/15C2 ....(Ii)
Then, required probability = 1/15C2 + 3/15C2 = 4/ 15C2
= 4/105
