WAEC 2013 Mathematics · Question 9

Which of the following is not a probability of Mary scoring 85% in a mathematics test?

Options

  1. A.0.15
  2. B.0.57
  3. C.0.94
  4. 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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