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Home » Mathematics » Study WAEC questions on Probability (+PDF)

Study WAEC questions on Probability (+PDF)

By EXAM MAJOR No Comments
Last Updated on Tuesday — 14th April, 2026

These WAEC questions on Probability are all from its sub-topics in the WAEC MATH SYLLABUS.

We have also covered each Probability sub-topic with detailed explanation in our WAEC Math lesson online.

  • SEE LESSON ON PROBABILITY NOW

Attempt each question before checking its correct answer and explanation.

WAEC Probability questions

1. A box contains black, white and red identical balls. The probability of picking a black ball at random from the box is 3/10 and the probability of picking a white ball at random is 2/5. If there are 30 balls in the box, how many 3 of them are red?  

A. 3
B. 7
C. 9
D. 12
2. If a number is selected at random, from each of the sets P = {1, 2, 3} and Q = {2, 3, 5}, find the probability that the sum of the numbers is prime. 

A. 5/9
B. 4/9
C. 1/3
D. 2/9
3. The probability of an event P happening is 1/5 and that of event Q is 1/4. If the events are independent, what is the probability that neither of them happens?  

A. 4/5
B. 3/4
C. 3/5
D. 1/20
4. The probabilities that Kebba, Ebou and Omar will hit a target are 2/3, 3/4 and 4/5 respectively. Find the probability that only Kebba will hit the target.

A. 2/5
B. 7/60
C. 1/30
D. 1/60
5. A letter is selected from the letters of the English alphabet. What is the probability that the letter selected is from the word MATHEMATICS?

A. 9/13
B. 11/26
C. 4/13
D. 1/26
6. Given the sets A = {2, 4, 6, 8} and B = {2, 3, 5, 9}. If a number is selected at random from set B, what is the probability that the number is prime? 

A. 1
B. 3/4
C. 1/2
D. 1/4
7. Which of the following is not a probability of Mary scoring 85% in a mathematics test?  

A. 1/12
B. 1/6
C. 2/9
D. 3/5
8. Find the probability that a team selected at random scored either 4 or 7 goals?

A. 9/25
B. 11/25
C. 3/5
D. 18/25
9. Calculate the probability that a team selected at random scored at most 3 goals.

A. 3/25
B. 1/5
C. 6/25
D. 2/5
10. A survey shows that 28% of all the men in a village wear size 9 shoes. What is the probability that a man selected at random in the village wears size 9 shoes?

A. 7/25
B. 41/50
C. 1/2
D. 1

Download WAEC questions on Probability PDF

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Did you fail many of the WAEC Probability questions above?

  • TAKE LESSON ON PROBABILITY NOW

Or would you like to practice questions on all WAEC Math topics like (Number base, Sets, Quadratic equation, Trigonometry, Probability, Surd, Geometry, etc.) in WAEC CBT format instead?

POSTED UNDER: PROBABILITY

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