Questions
A bag contains m white and n black balls. Pairs of balls are drawn without replacement until the bag is empty. The probability that each pair consists of one white and one black ball is
detailed solution
Correct option is B
The required probability is n2 2nC2(n−1)22n−2C2(n−2)2 2n−4C2⋯22 4C212 2C2=(1×2×3×4×⋯×(n−1)n)2(2n)!2n=2n(n!)2(2n)!=2n 2nCnSimilar Questions
The odd against an event are 5 to 2 and the odds in favour of another disjoint event are 3 to 5. Then the probability that atleast one of the events will happen is
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