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Question

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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Solution

Let event A She passes in Mathematics

Let event B She passes in computer sciences

P(A)=45

P(AB)=12

To calculate P(BA)

Using Bayes theorem,

P(AB)=P(BA)P(A)

P(BA)=1/24/5=58


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