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The probability that a student passes a physics test is (frac{2}{3}). If he takes three…

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 Answer: Option C
Explanation

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})

There is an explanation video available below.

Explanation Video

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