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

Mathematics
JAMB 1992

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. \(\frac{11}{12}\)
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Correct Answer: Option D
Explanation

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

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

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


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