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Post-UTME Mathematics 2010 Objective — Question 3

Question 3 of 10 from the Post-UTME Screening (Post-UTME) Mathematics 2010 Objective paper, with the correct answer and a full explanation.

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The probability of an event P is ¾ while that of another event Q is 1/6. If the probability of both P and Q is 1/12, what is the probability of either P or Q?

  • A. 1/96
  • B. 1/8
  • C. 5/6Correct
  • D. 11/12

Explanation

P(P∪Q)=P(P)+P(Q)-P(P∩Q) = 3/4+1/6-1/12 = 9/12+2/12-1/12 = 10/12 = 5/6.

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