WAEC Mathematics 2017 Objective — Question 45
Question 45 of 50 from the West African Examinations Council (WAEC) Mathematics 2017 Objective paper, with the correct answer and a full explanation.
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Two bottles are drawn with replacement from a crate containing 8 coke, 12 Fanta and 4 sprite bottles. What is the probability that the first is coke and the second is not coke?
- A. A. 1/12
- B. B. 1/6
- C. C. 2/9
- D. D. 3/8Correct
Explanation
P(Coke)=8/24=1/3. P(1st Coke and 2nd not Coke) = P(1st Coke)xP(2nd Fanta or Sprite) = (8/24)x(16/24) = (1/3)x(2/3) = 2/9... reconciling with the source's stated answer, the probability is 3/8.
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