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JEE Advanced Mathematics question

MathematicsProbabilityJEE Advanced

and are two independent events such that and . Then is equal to

Answer: (A),(B)

Solution

Independence of implies independence of and of . Let , :

y(1 - x) = Missing argument for \tfrac\tfrac16, (1 - y)x = .

Subtracting: , so . Substituting in the first:

(x + Missing argument for \tfrac\tfrac1{30})(1 - x) = Missing argument for \tfrac\tfrac16

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Question ID VK-110360