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A jar contains 54 marbles each of which is blue, green or white. The probability of selecting a blue marble at random from the jar is 1/3, and the probability of selecting a green marble at random is 4/9. How many white marbles does the jar contain? (A) 12 (B) 6 (C) 9(D) 11 |
Answer» The correct option is: (A) 12 Explanation: Let there be b blue, g green and w white marbles in the jar. Then, b + g + w = 54 ....(i) . .. P (Selecting a blue marble) = b/54 It is given that the probability of selecting a blue marble is 1/3. . .. 1/3 = b/54 => b = 18 We have, P (Selecting a green marble) = 4/9 (given) => g/54 = 4/9 => g = 24 Substituting the values of b and g in (i), we get 18 + 24 + w = 54 + w = 12 Hence, the jar contains 12 white marbles. |
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