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Conditional Probabilityhard
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A student takes two tests, T1T_1T1​ and T2T_2T2​. P(T1)=0.8P(T_1) = 0.8P(T1​)=0.8, P(T2∣T1)=0.7P(T_2|T_1) = 0.7P(T2​∣T1​)=0.7, and P(T2∣T1c)=0.4P(T_2|T_1^c) = 0.4P(T2​∣T1c​)=0.4. What is P(T1∣T2)P(T_1|T_2)P(T1​∣T2​)?