Question
A jar contains 'z' white balls and 9 black balls. If the
probability of getting a white ball is 4/7, then find the probability of getting different coloured balls when two balls are drawn randomly from the jar.Solution
Total number of balls in the jar = z + 9
So, z/(z + 9) = 4/7
Or, 7z = 4(z + 9)
Or, 7z = 4z + 36
So, z = 12
Total balls = 12 + 9 = 21
Desired Probability = (12C1 × 9C1)/21C2 = (12 × 9)/(21 × 20/2) = 108/210 = 18/35
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