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 at least one of them is 0.95. What is the probability of passing both?

Explanation

Let A and B denotes the events that a randomly chosen student passes first and second examinations respectively.


Then, P(A)=0.8,

P(B)=0.7


P(A∪B)=0.95


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