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PROBABILITY REVISION QUESTIONS WITH ANSWERS

1. What is the probability of getting a head when a fair coin is tossed once?
2. A die is rolled once. What is the probability of getting an even number?
3. A bag contains 3 red and 5 blue balls. What is the probability of picking a red ball?
4. A card is drawn from a standard deck of 52 cards. Find the probability of drawing a king.
5. A number is selected at random from 1 to 10. Find the probability that it is a prime number.
6. A spinner has equal sectors numbered 1 to 5. Find the probability of getting a number less than 4.
7. A letter is chosen from the word "MATHEMATICS". Find the probability it is a vowel.
8. Two coins are tossed. Find the probability of getting two heads.
9. A number is chosen at random from 1 to 50. Find the probability it is divisible by 5.
10. A die is rolled. Find the probability of getting a number greater than 4.
11. Two dice are rolled. What is the probability of getting a sum of 7?
12. A bag contains 4 red, 3 green and 2 blue balls. One ball is picked. What is the probability it's not red?
13. A card is drawn at random from a pack. What is the probability it is a face card (J, Q, K)?
14. A basket contains 6 mangoes and 4 oranges. One fruit is picked at random. Find the probability it's a mango.
15. A number is chosen randomly from 1 to 100. Find the probability it is a multiple of 3 or 5.
16. A coin is tossed and a die is rolled. Find the probability of getting a head and a number less than 4.
17. Two cards are drawn from a deck without replacement. What is the probability both are aces?
18. A coin is tossed 3 times. Find the probability of getting at least one head.
19. If the probability of an event is \( \frac{3}{5} \), what is the probability it does not occur?
20. Two events A and B are mutually exclusive. If \( P(A) = 0.4 \) and \( P(B) = 0.3 \), find \( P(A \cup B) \).
21. The probability of passing Math is 0.7 and passing English is 0.6. Find the probability of passing both if independent.
22. A card is drawn. Find the probability it is not a heart.
23. A family has two children. Find the probability that both are girls.
24. A die is rolled twice. Find the probability that both results are odd numbers.
25. A coin is tossed and a card is drawn. Find the probability of getting a tail and a queen.
26. From a class of 10 boys and 15 girls, one student is selected. Find the probability that it is a girl.
27. If event A has probability 0.2 and event B has 0.5, and they are independent, find the probability both occur.
28. What is the probability of rolling a number less than 3 or greater than 5 on a fair die?
29. A jar has 7 red, 2 green, and 1 yellow marble. What is the probability of picking a green or yellow marble?
30. A fair die is rolled. What is the probability of getting a number not divisible by 3?

Suggested Answers:

  1. \( \frac{1}{2} \)
  2. \( \frac{3}{6} = \frac{1}{2} \)
  3. \( \frac{3}{8} \)
  4. \( \frac{4}{52} = \frac{1}{13} \)
  5. \( \frac{4}{10} = \frac{2}{5} \)
  6. \( \frac{3}{5} \)
  7. \( \frac{4}{11} \) [vowels: A, E, A, I]
  8. \( \frac{1}{4} \)
  9. \( \frac{10}{50} = \frac{1}{5} \)
  10. \( \frac{2}{6} = \frac{1}{3} \)
  11. \( \frac{6}{36} = \frac{1}{6} \)
  12. \( \frac{5}{9} \)
  13. \( \frac{12}{52} = \frac{3}{13} \)
  14. \( \frac{6}{10} = \frac{3}{5} \)
  15. \( \frac{47}{100} \)
  16. \( \frac{1}{2} \times \frac{3}{6} = \frac{1}{4} \)
  17. \( \frac{4}{52} \times \frac{3}{51} = \frac{1}{221} \)
  18. \( 1 - \frac{1}{8} = \frac{7}{8} \)
  19. \( \frac{2}{5} \)
  20. \( 0.4 + 0.3 = 0.7 \)
  21. \( 0.7 \times 0.6 = 0.42 \)
  22. \( \frac{39}{52} \)
  23. \( \frac{1}{4} \)
  24. \( \frac{3}{6} \times \frac{3}{6} = \frac{1}{4} \)
  25. \( \frac{1}{2} \times \frac{4}{52} = \frac{1}{26} \)
  26. \( \frac{15}{25} = \frac{3}{5} \)
  27. \( 0.2 \times 0.5 = 0.1 \)
  28. \( \frac{2}{6} = \frac{1}{3} \)
  29. \( \frac{3}{10} \)
  30. \( \frac{4}{6} = \frac{2}{3} \)

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