Question
A bag consists of ‘x’ orange balls and 4 purple
balls. If the probability of taking out an orange ball is 7/11, find the probability of getting one orange and one purple ball in two draws.Solution
ATQ, Total balls = x + 4 So, x/(x + 4) = 7/11 Or, 11x = 7x + 28 So, x = 7 Desired Probability = (7C1 × 4C1)/(11C2) = (2 × 7 × 4)/(11 × 10) = 28/55
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