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The probability that a student passes in Mathematics is \(\frac{4}{9}\) and he passes in Physics is \(\frac{2}{5}\) . Assuming that passing in Mathematics and Physics are independent of each other, what is the probability that he passes in Mathematics and fails in Physics?

(a) \(\frac{4}{15}\)

(b) \(\frac{8}{45}\)

(c) \(\frac{26}{45}\)

(d) \(\frac{19}{45}\)

1 Answer

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Best answer

(a) \(\frac{4}{15}\)

P (pass in Maths) =\(\frac{4}{9}\)

P (pass in Phy) = \(\frac{2}{5}\)

\(\therefore\) P (fail in Phy) = 1- \(\frac{2}{5}\) = \(\frac{3}{5}\)

\(\therefore\) P (pass in Maths and fail in Phy) = \(\frac{4}{15}\)

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