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A basket contains 4 red , 5 blue and 3 green marbles . If two marbles are picked at random , what is the probability that both are red ?

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A basket contains 4 red , 5 blue and 3 green marbles . If two marbles are picked at random , what is the probability that both are red ? A. `(3)/(7)` B. `(1)/(2)` C. `(2)/(11)` D. none of these Select the correct answer from above options

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Correct Answer - D Total possible outcomes `=n(S )=""^(12)C_(2)=(12xx11)/(1xx2)=66` Favourable Number of cases `=n( E)` `=""^(4)C_(2)=(4xx3)/(1xx2)=6` `implies` Required probability `(n( E))/(n( S))=(6)/(66)=(1)/(11)`

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