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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?

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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?

CHECK OUT: PROBABILITY

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