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The probability that a student passes a physics... - JAMB Mathematics 2012 Question

The probability that a student passes a physics test is \(\frac{2}{3}\). If he takes three physics tests, what is the probability that he passes two of the tests?
A
\(\frac{2}{27}\)
B
\(\frac{3}{27}\)
C
\(\frac{4}{27}\)
D
\(\frac{5}{3}\)
correct option: c

Pass(P) = (\frac{2}{3}), Fail(F) = (\frac{1}{3})

T = P.P.F ==> (\frac{2}{3} \times \frac{2}{3} \times \frac{1}{3}) = (\frac{4}{27})

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