In a college, 70% students pass in Physi...

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
(i) He passes in Physics and Mathematics
(ii) He passes in Mathematics given that he passes in Physics
(iii) He passes in Physics given that he passes in Mathematics.

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The correct Answer is:

`(11)/(15)`

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