WAEC 2013 Mathematics · Question 9
Which of the following is not a probability of Mary scoring 85% in a mathematics test?
Options
- A.0.15
- B.0.57
- C.0.94
- D.1.01
Answer: D. 1.01
Explanation written with AI and checked against the answer key
Analyze the question: You're asked which value cannot be a probability.
Concept: Every probability must lie between 0 and 1 inclusive:
0 ≤ P(E) ≤ 1
- P = 0 means the event is impossible.
- P = 1 means the event is certain.
- Any value less than 0 or greater than 1 is never a valid probability.
Solution: Check each option against this range.
- A. 0.15 → between 0 and 1 ✓ valid
- B. 0.57 → between 0 and 1 ✓ valid
- C. 0.94 → between 0 and 1 ✓ valid
- D. 1.01 → greater than 1 ✗ not valid
Only 1.01 falls outside the range, so it cannot be the probability of any event, including Mary scoring 85%.
Answer: D. 1.01
Tip: In "which is not a probability" questions, look for a number above 1 or below 0, such as 1.2, -0.3, or 5/4. Also remember that a probability can be written as a fraction, decimal, or percentage, but it must never exceed 100%.
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