Junior Cycle (Ireland) · Mathematics

Counting and Probability

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

Practise Counting and Probability now

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

All 13 questions

  1. A committee of 4 people is to be chosen from 12 volunteers. How many different committees are possible?
  2. A team has 4 men and 3 women. In how many ways can a group of 2 men and 2 women be chosen?
  3. In how many ways can a president, a secretary and a treasurer be chosen from 5 members if no one can hold two posts?
  4. A team has 7 men and 3 women. In how many ways can a group of 2 men and 1 women be chosen?
  5. A team has 5 men and 6 women. In how many ways can a group of 1 men and 2 women be chosen?
  6. A team has 5 men and 4 women. In how many ways can a group of 2 men and 2 women be chosen?
  7. In how many ways can 4 distinct prizes be given to 5 candidates, with no candidate receiving more than one prize?
  8. A committee of 2 people is to be chosen from 8 volunteers. How many different committees are possible?
  9. A team has 4 men and 3 women. In how many ways can a group of 2 men and 1 women be chosen?
  10. A team has 6 men and 6 women. In how many ways can a group of 1 men and 1 women be chosen?
  11. Two fair dice are thrown. What is the probability that the sum of the numbers is 5?
  12. A box has 5 red and 4 white marbles. Two marbles are taken out at the same time. What is the probability that both are red?
  13. A box has 3 red and 5 white marbles. Two marbles are taken out at the same time. What is the probability that both are red?

Keep practising

More Junior Cycle (Ireland) topics

All Junior Cycle (Ireland) practice →

Counting and Probability in other exams

Ready for the full Junior Cycle (Ireland) test?

Take a mock testJunior Cycle (Ireland) hub