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# The probability that a student selected at random from a class will pass in Mathematics is 4/5, and the probability that he/she passes in Mathematics and Computer Science is 1/2. What is the probability that he/she will pass in Computer Science if it is known that he has passed in Mathematics?

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#### Let event A→ She passes in MathematicsLet event B→ She passes in computer sciencesP(A)=45P(A∩B)=12To calculate →P(BA)Using Bayes theorem,P(A∩B)=P(BA)⋅P(A)⇒P(BA)=1/24/5=58

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Q1
The probability that a student selected at random from a class will pass in Mathematics is 4/5, and the probability that he/she passes in Mathematics and Computer Science is 1/2. What is the probability that he/she will pass in Computer Science if it is known that he has passed in Mathematics?
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Q2
The probability that a student selected at random from a class will pass in Mathematics is $\frac{4}{5},$ and the probability that he/she passes in Mathematics and Computer Science is $\frac{1}{2}$. What is the probability that he/she will pass in Computer Science if it is known that he/she has passed in Mathematics?
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Q3
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Q4
In a college, 70% students pass in Physics, 75% pass in Mathematics and 10% students fail in both. One student is chosen at random. What is the probability that:
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Q5
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