Question
A basket contains 'q' pink balls and 10 grey balls. If
the probability of getting a pink ball is 3/5, then find the probability of getting different coloured balls when two balls are drawn randomly from the basket.Solution
Total number of balls in the basket = q + 10
So, q/(q + 10) = 3/5
Or, 5q = 3(q + 10)
Or, 5q = 3q + 30
So, q = 15
Total balls = 15 + 10 = 25
Desired Probability = (15C1 × 10C1)/25C2 = (15 × 10)/(25 × 24/2) = 150/300 = 1/2
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