Probability & chance Quiz - ICSE Class 7 Mathematics

Free practice quiz: Probability & chance (ICSE Class 7 Mathematics). 61 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This ICSE Class 7 Mathematics practice quiz has 61 multiple-choice questions on Probability & chance, and 61 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Sample questions

1. A bag contains 5 red balls and 7 blue balls. If a ball is drawn at random, what is the probability of drawing a red ball?

   1. 5/12
   2. 7/12
   3. 5/7
   4. 7/5
   Show answer

   Answer: A. 5/12

   The total number of balls in the bag is 5 (red) + 7 (blue) = 12. The number of favorable outcomes (drawing a red ball) is 5. Therefore, the probability of drawing a red ball is the number of red balls divided by the total number of balls, which is 5/12.

2. What is the probability of an impossible event?

   1. 1
   2. 0
   3. 1/2
   4. Undefined
   Show answer

   Answer: B. 0

   The probability of an event that cannot happen (an impossible event) is always 0.

3. A die is rolled. What is the probability of getting an odd number?

   1. 1/2
   2. 1/3
   3. 2/3
   4. 1/6
   Show answer

   Answer: A. 1/2

   When a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, 6. The odd numbers are 1, 3, 5. There are 3 odd numbers. The total number of possible outcomes is 6. The probability of getting an odd number is 3/6, which simplifies to 1/2.

4. A letter is chosen at random from the word 'MISSISSIPPI'. What is the probability that the chosen letter is 'I'?

   1. 4/11
   2. 1/11
   3. 2/11
   4. 3/11
   Show answer

   Answer: A. 4/11

   The word 'MISSISSIPPI' has 11 letters. The letter 'I' appears 4 times. The probability of choosing an 'I' is the number of 'I's divided by the total number of letters, which is 4/11.

5. From a standard deck of 52 cards, what is the probability of drawing a red face card (King, Queen, Jack of Hearts or Diamonds)?

   1. 3/52
   2. 6/52
   3. 12/52
   4. 9/52
   Show answer

   Answer: B. 6/52

   There are 3 face cards (King, Queen, Jack) in the suit of Hearts, and 3 face cards in the suit of Diamonds. All these cards are red. So, the total number of red face cards is 3 + 3 = 6. The probability is 6/52, which simplifies to 3/26.

More questions in this quiz

Answers and explanations are in the full quiz.

1. What is the probability of getting a '6' when a fair die is rolled once?
2. A coin is tossed 3 times. What is the probability of getting exactly two heads?
3. In a class of 30 students, 18 students like to play cricket and 12 students like to play football. If a student is chosen at random, what is the probability that the student likes to play cricket?
4. What is the probability of choosing a vowel from the word 'ASSASSINATION'?
5. A spinner is divided into 8 equal sectors, numbered 1 to 8. What is the probability of landing on an even number?
6. If you have a bag with 3 green marbles and 5 yellow marbles, what is the probability of picking a green marble?
7. What is the probability of drawing a King from a standard deck of 52 playing cards?
8. A die is rolled. What is the probability of getting a number greater than 4?
9. In a survey, 100 people were asked about their favorite color. 35 people chose blue, 25 chose red, 20 chose green, and 20 chose yellow. What is the probability that a randomly selected person's favorite color is red?
10. What is the probability of selecting the letter 'A' from the word 'BANANA'?
11. A bag contains 4 red, 5 blue, and 3 green marbles. What is the probability of drawing a blue marble?
12. A fair coin is tossed twice. What is the probability of getting two tails?
13. What is the probability of selecting a prime number from the numbers 1 to 10?
14. A number is chosen from the first 10 natural numbers. What is the probability that the number is divisible by 3?
15. What is the probability of drawing a face card (King, Queen, Jack) from a standard deck of 52 cards?
16. A bag contains 6 red and 9 green balls. If a ball is drawn at random, what is the probability of drawing a green ball?
17. What is the probability of getting a sum of 7 when two dice are rolled simultaneously?
18. A letter is chosen at random from the word 'STATISTICS'. What is the probability that the chosen letter is 'S'?
19. What is the probability of selecting a number divisible by 5 from the numbers 1 to 20?
20. A bag contains 7 red and 3 white marbles. If a marble is drawn at random, what is the probability of drawing a white marble?
21. What is the probability of getting at least one head in two tosses of a fair coin?
22. From a standard deck of 52 cards, what is the probability of drawing an Ace?
23. What is the probability that a randomly selected month of the year starts with the letter 'J'?
24. A bag contains 5 green and 7 yellow marbles. What is the probability of drawing a green marble?
25. What is the probability of rolling a number less than 3 on a fair die?
26. A coin is tossed 4 times. What is the probability of getting exactly three heads?
27. What is the probability of choosing a consonant from the word 'COMPUTER'?
28. A bag contains 10 red, 20 blue, and 30 green balls. If a ball is drawn at random, what is the probability of drawing a red or green ball?
29. What is the probability of getting a prime number when a die is rolled?
30. A spinner is divided into 5 equal sections, labeled A, B, C, D, E. What is the probability of landing on a vowel?
31. What is the probability of drawing a card that is a heart from a standard deck of 52 cards?
32. A bag contains 3 red, 4 blue, and 5 green marbles. What is the probability of drawing a red marble?
33. What is the probability of getting a sum of 10 when two dice are rolled?
34. What is the probability of choosing a number divisible by 4 from the numbers 1 to 15?
35. A bag contains 5 red and 3 blue balls. If a ball is drawn at random, what is the probability of drawing a blue ball?
36. What is the probability of getting exactly one head in three tosses of a fair coin?
37. From a standard deck of 52 cards, what is the probability of drawing a spade or a diamond?
38. A die is rolled. What is the probability of getting a number greater than 6?
39. A bag contains 12 red marbles and 8 blue marbles. What is the probability of drawing a red marble?
40. What is the probability of getting a sum of 8 when two dice are rolled?
41. A letter is chosen at random from the word 'GEOMETRY'. What is the probability that the chosen letter is 'E'?
42. What is the probability of choosing a number divisible by 7 from the numbers 1 to 30?
43. A bag contains 4 red and 6 blue balls. What is the probability of drawing a blue ball?
44. What is the probability of getting at least one tail in two tosses of a fair coin?
45. A die is rolled. What is the probability of getting a number that is a multiple of 3?
46. A bag contains 5 red, 5 blue, and 5 green balls. What is the probability of drawing a blue ball?
47. What is the probability of getting a sum of 3 when two dice are rolled?
48. A letter is chosen at random from the word 'CALCULUS'. What is the probability that the chosen letter is 'C'?
49. What is the probability of choosing a number divisible by 6 from the numbers 1 to 25?
50. A bag contains 6 red and 4 blue balls. What is the probability of drawing a red ball?
51. What is the probability of getting a sum of 12 when two dice are rolled?
52. A letter is chosen at random from the word 'PROBABILITY'. What is the probability that the chosen letter is 'B'?
53. What is the probability of choosing a number divisible by 3 from the numbers 1 to 18?
54. A bag contains 7 red and 3 green balls. What is the probability of drawing a red ball?
55. What is the probability of getting a sum of 9 when two dice are rolled?
56. A letter is chosen at random from the word 'MATHEMATICS'. What is the probability that the chosen letter is 'M'?

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