GATE DA 2024 Set 1 — Question 58

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NAT+2 / -0EasyBayes' TheoremProbabilityProbability & StatisticsConditional Probability

Probability & Statistics → Probability → Bayes' Theorem

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Question

Consider two events TT and SS. Let Tˉ\bar{T} denote the complement of the event TT. The probability associated with different events are given as follows:
P(Tˉ)=0.6,P(ST)=0.3,P(STˉ)=0.6P(\bar{T}) = 0.6, P(S|T) = 0.3, P(S|\bar{T}) = 0.6
Then, P(TS)P(T|S) is ______ (rounded off to two decimal places).
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