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GCSE Maths Foundation: Probability practice questions
Ten free GCSE Maths Foundation tier questions on the probability scale, combined events, sample spaces, relative frequency and expected outcomes, each with a worked solution. Suitable for AQA, Edexcel and OCR.
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Timed mode
10 questions in 15 minutes, one question at a time. Your answers are marked when you submit or when the time runs out.
विषय: Probability
1. A fair dice is rolled. What is the probability of an even number?
हल
B. 1/2
- The even numbers are 2, 4 and 6: 3 outcomes out of 6.
- 3/6 = 1/2.
विषय: Probability
2. The probability that a spinner lands on red is 0.35. What is the probability that it does not land on red?
हल
A. 0.65
- P(not A) = 1 − P(A).
- 1 − 0.35 = 0.65.
विषय: Probability
3. A bag holds 3 red, 5 blue and 2 green counters. One is picked at random. Find P(green).
हल
D. 1/5
- There are 3 + 5 + 2 = 10 counters and 2 are green.
- 2/10 = 1/5.
विषय: Combined events
4. A fair coin is flipped twice. What is the probability of two heads?
हल
C. 1/4
- The outcomes are HH, HT, TH and TT.
- One of the four is HH, so 1/4.
विषय: Expected outcomes
5. The probability of winning a game is 0.2. How many wins would you expect in 50 games?
हल
B. 10
- Expected number = probability × number of trials.
- 0.2 × 50 = 10.
विषय: Sample space
6. A coin is flipped and a dice is rolled. How many possible outcomes are there?
हल
A. 12
- The coin has 2 outcomes and the dice has 6.
- 2 × 6 = 12.
विषय: Relative frequency
7. A drawing pin lands point up 18 times in 60 throws. What is the relative frequency of point up?
हल
D. 0.3
- Relative frequency = number of times ÷ number of trials.
- 18 ÷ 60 = 0.3.
विषय: Mutually exclusive events
8. A and B are mutually exclusive. P(A) = 0.3 and P(B) = 0.45. Find P(A or B).
हल
C. 0.75
- For mutually exclusive events, P(A or B) = P(A) + P(B).
- 0.3 + 0.45 = 0.75.
विषय: Probability
9. A spinner can land on red, blue or green. P(red) = 0.4 and P(blue) = 0.25. Find P(green).
हल
B. 0.35
- The probabilities add up to 1.
- 1 − 0.4 − 0.25 = 0.35.
विषय: Probability scale
10. An event has a probability of 0. How is it described?
हल
A. Impossible
- A probability of 0 means the event cannot happen.
- A probability of 1 means it is certain.
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