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Anurn contains 6 red,4 blue ,2 green and 3yellow marbles If two marbles are picked at random , what is the probability that both are red ?

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Anurn contains 6 red,4 blue ,2 green and 3yellow marbles If two marbles are picked at random , what is the probability that both are red ? A. `(1)/(6)` B. `(1)/(3)` C. `(2)/(15)` D. none of these Select the correct answer from above options

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Correct Answer - D Number of way of selecting 2 red marbles from 6 red marbles `=""^(6)C_(2)=15` Number of ways of selecting 2 marbles from urn `="^(15)C_(2)=105` Required probability `=(15)/(105)=(1)/(7)`

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