General Education Diploma (GED Oman) · Pure Mathematics

Counting and Probability

10 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 10 questions

  1. A committee of 4 people is to be chosen from 8 volunteers. How many different committees are possible?
  2. A committee of 3 people is to be chosen from 9 volunteers. How many different committees are possible?
  3. In how many ways can a president, a secretary and a treasurer be chosen from 6 members if no one can hold two posts?
  4. A team has 6 men and 6 women. In how many ways can a group of 2 men and 1 women be chosen?
  5. In how many ways can a president, a secretary and a treasurer be chosen from 8 members if no one can hold two posts?
  6. A box has 4 red and 3 white marbles. Two marbles are taken out at the same time. What is the probability that both are red?
  7. A box has 5 red and 6 white marbles. Two marbles are taken out at the same time. What is the probability that both are red?
  8. A box has 3 red and 3 white marbles. Two marbles are taken out at the same time. What is the probability that both are red?
  9. A box has 5 red and 5 white marbles. Two marbles are taken out at the same time. What is the probability that both are red?
  10. A box has 4 red and 4 white marbles. Two marbles are taken out at the same time. What is the probability that both are red?

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