Psychometric Entrance Test (PET Israel) · Quantitative Reasoning

Probability, counting and sequences

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

Practise Probability, counting and sequences now

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

All 24 questions

  1. A bag has 4 red and 5 blue marbles. Two marbles are drawn one after the other without replacement. What is the probability that both are red?
  2. A club has 8 members. In how many ways can a committee of 2 be chosen?
  3. The first term of an arithmetic sequence is -2 and the common difference is -3. What is the 10th term?
  4. A geometric sequence has first term 5 and common ratio 3. What is the 4th term?
  5. What is the median of the data set 15, 9, 15, 10, 3, 13, 12?
  6. A bag has 3 red and 4 blue marbles. Two marbles are drawn one after the other without replacement. What is the probability that both are red?
  7. A club has 10 members. In how many ways can a committee of 2 be chosen?
  8. The first term of an arithmetic sequence is -2 and the common difference is 2. What is the sum of the first 15 terms?
  9. A geometric sequence has first term 2 and common ratio 2. What is the 5th term?
  10. A club has 7 members. In how many ways can a committee of 2 be chosen?
  11. The first term of an arithmetic sequence is 10 and the common difference is 4. What is the 20th term?
  12. What is the median of the data set 7, 6, 10, 11, 11, 5, 15?
  13. 10 runners compete in a race. In how many ways can the first 2 places be awarded?
  14. The first term of an arithmetic sequence is 10 and the common difference is 3. What is the 15th term?
  15. A geometric sequence has first term 3 and common ratio 2. What is the 5th term?
  16. What is the median of the data set 4, 15, 10, 14, 8, 9, 9?
  17. A bag has 5 red and 5 blue marbles. Two marbles are drawn one after the other without replacement. What is the probability that both are red?
  18. 8 runners compete in a race. In how many ways can the first 3 places be awarded?
  19. The first term of an arithmetic sequence is 7 and the common difference is -3. What is the sum of the first 15 terms?
  20. What is the median of the data set 15, 3, 9, 3, 13, 12, 12?
  21. A bag has 2 red and 3 blue marbles. Two marbles are drawn one after the other without replacement. What is the probability that both are red?
  22. The first term of an arithmetic sequence is 3 and the common difference is 5. What is the 15th term?
  23. A bag has 3 red and 5 blue marbles. Two marbles are drawn one after the other without replacement. What is the probability that both are red?
  24. What is the median of the data set 9, 6, 3, 2, 12, 14, 14?

Keep practising

More Psychometric Entrance Test (PET Israel) topics

All Psychometric Entrance Test (PET Israel) practice →

Probability, counting and sequences in other exams

Ready for the full Psychometric Entrance Test (PET Israel) test?

Take a mock testPsychometric Entrance Test (PET Israel) hub
Probability, counting and sequences practice questions | GetMyMockTest