Three students S 1 , S 2 , and S 3 are given a problem to solve. Consider the following…
Mathematics · JEE Advanced · NTA Exams — Statistics and Probability
Three students S1, S2, and S3 are given a problem to solve. Consider the following events:
U : At least one of S1, S2, and S3 can solve the problem,
V : S1 can solve the problem, given that neither S2 nor S3 can solve the problem,
W : S2 can solve the problem and S3 cannot solve the problem,
T : S3 can solve the problem.
For any event E, let P(E) denote the probability of E. If
then P(T) is equal to
U : At least one of S1, S2, and S3 can solve the problem,
V : S1 can solve the problem, given that neither S2 nor S3 can solve the problem,
W : S2 can solve the problem and S3 cannot solve the problem,
T : S3 can solve the problem.
For any event E, let P(E) denote the probability of E. If
then P(T) is equal to
Answer
(A)
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