Question
A container has 'p' orange balls and 15 purple balls. If
the probability of getting an orange ball is 2/5, then find the probability of getting different coloured balls when two balls are drawn randomly from the container.Solution
Total number of balls in the container = p + 15
So, p/(p + 15) = 2/5
Or, 5p = 2(p + 15)
Or, 5p = 2p + 30
So, p = 10
Total balls = 10 + 15 = 25
Desired Probability = (10C1 × 15C1)/25C2 = (10 × 15)/(25 × 24/2) = 150/300 = 1/2
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