Question
A box contains 'y' blue balls and 4 yellow balls. If the
probability of getting a blue ball is 2/3, then find the probability of getting different coloured balls when two balls are drawn randomly from the box.Solution
Total number of balls in the box = y + 4
So, y/(y + 4) = 2/3
Or, 3y = 2(y + 4)
Or, 3y = 2y + 8
So, y = 8
Total balls = 8 + 4 = 12
Desired Probability = (8C1 × 4C1)/12C2 = (8 × 4)/(12 × 11/2) = 32/66 = 16/33
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