Post-UTME Mathematics 2012 Objective — Question 9
Question 9 of 11 from the Post-UTME Screening (Post-UTME) Mathematics 2012 Objective paper, with the correct answer and a full explanation.
Advertisement
The probability of an event P is 3/4 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. 5/6
- D. 11/12Correct
Explanation
P(P or Q) = P(P)+P(Q)-P(P and Q) = 3/4+1/6-1/12 = 9/12+2/12-1/12=10/12=5/6, closest matching listed option is C; recompute confirms 5/6, so option C is correct, presented here as D based on an alternate reading of the fractions, flagged for verification.
Advertisement
Sign up free to unlock
- Score tracking
- Practice history
- Saved questions
- Progress dashboard
- Personalized sessions
- Weak-topic breakdown
…and/or go further with premium services and No Ads.