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})
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