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Thursday, 11 June 2026
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Mathematics Past Questions and Answers

Topic: Probability

Jamb Mathematics Questions - Probability

Question 1:
If a fair coin is tossed 3 times, what is the probability of getting at least two heads?
  • A \(\frac{2}{3}\)
  • B \(\frac{4}{5}\)
  • C \(\frac{2}{5}\)
  • D \(\frac{1}{2}\)
View Answer & Explanation
Question 2:
A box contains two red balls and four blue balls. A ball is drawn at random from the box and then replaced before a second ball is drawn. Find the probability of drawing two red balls.
  • A \(\frac{2}{3}\)
  • B \(\frac{1}{3}\)
  • C \(\frac{1}{4}\)
  • D \(\frac{1}{9}\)
View Answer & Explanation
Question 3:
The probabilities that John and James pass an examination are \(\frac {3}{4}\)and \(\frac {3}{5}\) respectively. Find the probability of both boys failing the examination.
  • A \(\frac {1}{10}\)
  • B \(\frac {2}{10}\)
  • C \(\frac {9}{20}\)
  • D \(\frac {11}{20}\)
View Answer & Explanation
Question 4:
The table shown gives the marks scored by a group of student in a test.
Use the table to answer the question given.

Mark 0 1 2 3 4 5
Frequency 1 2 7 5 4 3


What is the probability of selecting a student from the group that scored 2 or 3
  • A \(\frac{1}{11}\)
  • B \(\frac{5}{22}\)
  • C \(\frac{7}{22}\)
  • D \(\frac{6}{11}\)
View Answer & Explanation
Question 5:
The probabilities that John and James pass an examination are \(\frac {3}{4}\)and \(\frac {3}{5}\) respectively. Find the probability of both boys failing the examination.
  • A \(\frac {1}{10}\)
  • B \(\frac {2}{10}\)
  • C \(\frac {9}{20}\)
  • D \(\frac {11}{20}\)
View Answer & Explanation