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The probability of an event P is (frac{3}{4}) while that of another event Q is…

The probability of an event P is (frac{3}{4}) while that of another event Q is (frac{1}{6}). If the probability of both P and Q is (frac{1}{2}). What is the probability of either P or Q.

  • A.
    (frac{1}{96})
  • B.
    (frac{1}{8})
  • C.
    (frac{5}{6})
  • D.
    (frac{11}{12})
Correct Answer: Option D
Explanation

Prob of P = (frac{3}{4})

Prob of Q = (frac{1}{6})

Prob of both P or Q = (frac{3}{4} + frac{1}{6} = frac{11}{12})