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A bag contains 5 black 4 white and x red marble... - JAMB Mathematics 2006 Question

A bag contains 5 black, 4 white and x red marbles. If the probability of picking a red marble is 2/3, find the value of x

A
8
B
10
C
4
D
6
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Correct Option: D

Black = 5

White = 4

Red = x

Total = 9+x

P(red) = 2/3

x / (9+x) = 2/5

5x = 2(9+x)

5x = 18+2x

5x-2 = 18

3x = 18

x = 6

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