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WAEC Further Mathematics questions: Probability

16 questions with answers and explanations. Tap an option to check yourself.

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All topicsCoordinate geometry and conic sections · 16Differentiation · 18Dynamics · 15Functions and rational functions · 15Integration · 16Matrices and determinants · 16Permutations and combinations · 15Polynomials and the remainder theorem · 16Probability · 16Sequences and series · 16Sets, binary operations and logic · 16Statics · 14Statistics · 15Surds, indices and logarithms · 16The binomial theorem · 15Trigonometry · 16Vectors · 16

  1. Question 1· Probability· WAEC

    A bag holds 4 red and 6 white balls. Two are drawn at random without replacement. Find the probability that both are red.

    Explanation and discussion

  2. Question 2· Probability· WAEC

    Events A and B are independent, with P(A) = 0.4 and P(B) = 0.5. Find P(A and B).

    Explanation and discussion

  3. Question 3· Probability· WAEC

    For independent events, P(A) = 0.5 and P(B) = 0.4. P(A and B) is

    Explanation and discussion

  4. Question 4· Probability· WAEC

    A letter is chosen at random from the word MATHEMATICS. Find the probability that it is M.

    Explanation and discussion

  5. Question 5· Probability· WAEC

    Events that cannot occur together are called

    Explanation and discussion

  6. Question 6· Probability· WAEC

    A bag contains 3 red and 5 blue balls. Two balls are drawn at random without replacement. Find the probability that both are red.

    Explanation and discussion

  7. Question 7· Probability· WAEC

    A fair coin is tossed four times. Find the probability of exactly two heads.

    Explanation and discussion

  8. Question 8· Probability· WAEC

    Two fair coins are tossed. The probability of getting two heads is

    Explanation and discussion

  9. Question 9· Probability· WAEC

    A bag has 3 red and 5 blue balls. The probability of picking a red ball is

    Explanation and discussion

  10. Question 10· Probability· WAEC

    P(A) = 0.6, P(B) = 0.5 and P(A ∩ B) = 0.3. Find P(A ∪ B).

    Explanation and discussion

  11. Question 11· Probability· WAEC

    A fair die is tossed once. Find the probability of getting a number greater than 4.

    Explanation and discussion

  12. Question 12· Probability· WAEC

    A and B are independent, with P(A) = 1/3 and P(B) = 1/4. Find the probability that neither occurs.

    Explanation and discussion

  14. Question 14· Probability· WAEC

    Two fair dice are thrown. Find the probability that the total is 10.

    Explanation and discussion

  15. Question 15· Probability· WAEC

    A fair die is thrown once. The probability of getting a number greater than 4 is

    Explanation and discussion

  16. Question 16· Probability· WAEC

    A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5. Find P(A or B).

    Explanation and discussion

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