WAEC 2024 Mathematics · Question 39
The probability that Amaka will pass an examination is 3/7 and that Bala will pass is 4/9 . Find the…
Question
The probability that Amaka will pass an examination is and that Bala will pass is . Find the probability that both will pass the examination.
- A.
- B..
- C.
- D.
Answer: B. .
Explanation written with AI and checked against the answer key
Analyze the question: We want the probability that both Amaka and Bala pass. Their results are independent events, since one person's performance doesn't affect the other's. Concept: For independent events A and B: P(A and B) = P(A) × P(B) Solution: P(both pass) = 3/7 × 4/9 = (3 × 4) / (7 × 9) = 12/63 Divide the top and bottom by 3: = 4/21 Check: 12 ÷ 3 = 4 and 63 ÷ 3 = 21, so the fraction simplifies correctly to 4/21. Tip: In probability, "and" means multiply, and "or" means add (for mutually exclusive events). Before multiplying fractions, cross-cancel common factors. Here the 3 in the numerator and the 9 in the denominator cancel to leave 1/7 × 4/3, which is also 4/21.AI can make mistakes. Report anything that looks wrong.
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