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A bucket contains 8red,3 blue and 5 green marbles . If 3 marbles are drawn at random , what is the probability that none is red ?

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A bucket contains 8red,3 blue and 5 green marbles . If 3 marbles are drawn at random , what is the probability that none is red ? A. 3 8 B. 1 16 C. 1 10 D. 3 16 Select the correct answer from above options

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Correct Answer - C n ( S ) = 16 C 3 = 16 × 15 × 14 1 × 2 × 3 = 560 n Out of the three drawn marbles none is red clearly they will be either blue or green . ⇒ n ( E ) = 8 C 3 = 8 × 7 × 6 1 × 2 × 3 = 56 ⇒ ⇒ ⇒ Required probability = n ( E ) n ( S ) = 56 560 = 1 10 =

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