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Probability practice questions with answers

Foundation · Grade 2 · Non-calculator

A second set of probability questions for GCSE Maths. They are different from the ones on the topic page, so work through both. Try each question, then open the answer to check your working.

More questions

Question 1 Easy

The probability that a bus is late is 3/8. What is the probability that it is not late?

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Answer: 5/8

  1. Not late is 1 minus the chance of late, and 1 = 8/8.
  2. 8/8 − 3/8 = 5/8.
  • Method (1): Not late is 1 minus the chance of late, and 1 = 8/8.
  • Accuracy (1): Answer 5/8

Question 2 Easy

A fair spinner has 12 equal sections. 8 of them are shaded. What is the probability that it lands on shaded? Give the fraction in its lowest terms.

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Answer: 2/3

  1. Shaded sections over all sections: 8/12.
  2. 8 and 12 both divide by 4, so 8/12 = 2/3.
  • Method (1): Shaded sections over all sections: 8/12.
  • Accuracy (1): Answer 2/3

Question 3 Medium

The probability that a bus is late is 1/6. What is the probability that it is not late?

Show answer

Answer: 5/6

  1. Not late is 1 minus the chance of late, and 1 = 6/6.
  2. 6/6 − 1/6 = 5/6.
  • Method (1): Not late is 1 minus the chance of late, and 1 = 6/6.
  • Accuracy (1): Answer 5/6

Question 4 Medium

A fair spinner has 15 equal sections. 6 of them are shaded. What is the probability that it lands on shaded? Give the fraction in its lowest terms.

Show answer

Answer: 2/5

  1. Shaded sections over all sections: 6/15.
  2. 6 and 15 both divide by 3, so 6/15 = 2/5.
  • Method (1): Shaded sections over all sections: 6/15.
  • Accuracy (1): Answer 2/5

Question 5 Hard

The probability that a bus is late is 4/9. What is the probability that it is not late?

Show answer

Answer: 5/9

  1. Not late is 1 minus the chance of late, and 1 = 9/9.
  2. 9/9 − 4/9 = 5/9.
  • Method (1): Not late is 1 minus the chance of late, and 1 = 9/9.
  • Accuracy (1): Answer 5/9

Question 6 Hard

A fair spinner has 16 equal sections. 12 of them are shaded. What is the probability that it lands on shaded? Give the fraction in its lowest terms.

Show answer

Answer: 3/4

  1. Shaded sections over all sections: 12/16.
  2. 12 and 16 both divide by 4, so 12/16 = 3/4.
  • Method (1): Shaded sections over all sections: 12/16.
  • Accuracy (1): Answer 3/4

Exam-style question

A longer question with marks, in the style of a written paper. This is a Yumio practice question, not a past paper question.

Exam-style question 12 marks

A bag has 6 red counters and 3 blue counters. One counter is picked at random. What is the probability that it is red? Give the fraction in its lowest terms.

Show answer

Answer: 2/3

  1. All the counters: 6 + 3 = 9.
  2. Red over all counters is 6/9, which simplifies to 2/3.
  3. The probability of red is 2/3.
  • Method (1): All the counters: 6 + 3 = 9.
  • Accuracy (1): Answer 2/3

Quick checks

Short one-step questions. Pick an option before you open the answer.

Check 1

A bag has 3 red counters and 9 blue counters. One counter is picked at random. What is the probability that it is red? Give the fraction in its lowest terms.

  1. 1/4
  2. 3/4
  3. 3/9
Show answer

1/4 The result is 1/4.

Check 2

The probability that a bus is late is 7/10. What is the probability that it is not late?

  1. 3/10
  2. 7/10
  3. 3/7
Show answer

3/10 The result is 3/10.

Check 3

A fair spinner has 9 equal sections. 3 of them are shaded. What is the probability that it lands on shaded? Give the fraction in its lowest terms.

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

1/3 The result is 1/3.

Check 4

A fair dice is rolled. What is the probability of getting a number less than 5? Give the fraction in its lowest terms.

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

2/3 The result is 2/3.

Check 5

A bag has 7 red counters and 5 blue counters. One counter is picked at random. What is the probability that it is red? Give the fraction in its lowest terms.

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

7/12 The result is 7/12.

Check 6

The probability that a bus is late is 3/7. What is the probability that it is not late?

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

4/7 The result is 4/7.

Check 7

A fair spinner has 18 equal sections. 12 of them are shaded. What is the probability that it lands on shaded? Give the fraction in its lowest terms.

  1. 2/3
  2. 1/3
  3. 12/6
Show answer

2/3 The result is 2/3.

Check 8

A fair dice is rolled. What is the probability of getting an odd number? Give the fraction in its lowest terms.

  1. 1/2
  2. 3
  3. 1/3
Show answer

1/2 The result is 1/2.

Check 9

A bag has 8 red counters and 4 blue counters. One counter is picked at random. What is the probability that it is red? Give the fraction in its lowest terms.

  1. 2/3
  2. 1/3
  3. 8/4
Show answer

2/3 The result is 2/3.

Check 10

The probability that a bus is late is 2/9. What is the probability that it is not late?

  1. 7/9
  2. 2/9
  3. 7/2
Show answer

7/9 The result is 7/9.

Check 11

A fair spinner has 14 equal sections. 4 of them are shaded. What is the probability that it lands on shaded? Give the fraction in its lowest terms.

  1. 2/7
  2. 5/7
  3. 4/10
Show answer

2/7 The result is 2/7.

Check 12

A fair dice is rolled. What is the probability of getting a number greater than 2? Give the fraction in its lowest terms.

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

2/3 The result is 2/3.

Check 13

A bag has 3 red counters and 4 blue counters. One counter is picked at random. What is the probability that it is red? Give the fraction in its lowest terms.

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

3/7 The result is 3/7.

Check 14

The probability that a bus is late is 2/5. What is the probability that it is not late?

  1. 3/5
  2. 2/5
  3. 3/2
Show answer

3/5 The result is 3/5.

Check 15

A fair spinner has 10 equal sections. 4 of them are shaded. What is the probability that it lands on shaded? Give the fraction in its lowest terms.

  1. 2/5
  2. 3/5
  3. 4/6
Show answer

2/5 The result is 2/5.

Keep going with Probability

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