Question
A bag contains 32 balls of two different colours violet and
green in the ratio of 5:3 respectively. Two balls are randomly drawn without replacement from the bag. Find the probability that both the balls are of the same colour.Solution
The number of violet colour balls = 32 × (5/8) = 20
The number of green colour balls = 32 − 20 = 12
So, the probability that both the balls are violet = {20C2 / 32C2}
So, the probability that both the balls are green = {12C2 / 32C2}
So, required probability = {20C2 / 32C2} + {12C2 / 32C2} = (217/496)
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