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The probability that a student selected at random from a class will pass in Hindi is 4/5 and the probability that he passes

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The probability that a student selected at random from a class will pass in Hindi is 4/5 and the probability that he passes in Hindi and English is 1/2. What is the probability that he will pass in English if it is known that he has passed in Hindi? Select the correct answer from above options

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One student is selected at random. Let P(A) be the probability of students passing in English. Let P(B) be the probability of students passing in Hindi. ∴P(B)= 4 5 Let P(A ∩ B) be the probability of students passing in both English and Hindi. ∴P(A∩B)= 1 2 Tip – By conditional probability, P(A/B) = P(A∩B) P(B) where P(A/B) is the probability of occurrence of the event A given that B has already occurred. The probability that he will pass in English given that he passes in Hindi:

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