In an entrance test that is graded on the basis of two examinations, the probability of a randomly chosen student passing the first examination is $0.8$ and the probability of passing the second examination is $0.7$. The probability of passing atleast one of them is $0.95$. What is the probability of passing both?

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in an entrance test That is graded on the basis of two examination, the probability of randomly choose a student passing. The first examination is 0.8 and the probability of passing the second examination is 0.7. The probability of passing at least one of them is 0.95 but is a probability of passing both. So let a M B. B. The event of passing 1st and 2nd examination. Accordingly, probability of A. S equals two. 0.8, Probability of B is equal to 0.7 and Probability of a. or b is equals two 0195 has been no. That probability of A. Or B is equal to the probability of E plus probability of B minus probability of A and B. By substituting the known values we get 0.95 is equal to 0.8 plus 0.7 minus probability of A. And B. By simplifying it, we get probability of A. And B as equals two 0.8 plus 0.7 minus 0.95 It would be equals to 0.55 does. The probability of passing both examinations is 0.55.

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