JEE Advanced 2025 Mathematics question
Three students , , and are given a problem to solve. Consider the following events: U: At least one of , , and can solve the problem, V: can solve the problem, given that neither nor can solve the problem, W: can solve the problem and cannot solve the problem, T: can solve the problem. For any event E, let P(E) denote the probability of E. If
P(U) = , P(V) = , and P(W) = ,
then P(T) is equal to
Answer: (A)
Solution
Let be " solves". gives . V is the conditional event: , so and
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