Math 8 · Unit 13: Probability · Cambridge Lower Secondary Maths Stage 8

13.2 Experimental and theoretical probabilities

15 questions · e.g. A coin lands heads 46 times in 100 tosses. Relative …

Questions

1. A coin lands heads 46 times in 100 tosses. Relative frequency of heads?
- 0.46
- 0.5
- 0.54
- 46
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2. Theoretical probability of heads on a fair coin?
- 0.25
- 1
- 0.46
- 0.5
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3. P(6) = ⅙. Expected number of 6s in 120 rolls?
- 12
- 6
- 20
- 120
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4. Which gives a more reliable estimate of probability?
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5. A drawing pin lands point up 35 times in 50 throws. Estimate P(point up).
- 0.5
- 0.3
- 0.35
- 0.7
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6. A drawing pin lands point up 35 times in 50 throws. Estimate how many times it lands point up in 400 throws.
- 200
- 280
- 350
- 140
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7. A dice gives 30 sixes in 60 rolls. What might this suggest?
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8. P(win) = 0.15. Expected wins in 200 games?
- 20
- 170
- 15
- 30
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9. Relative frequency is also called …
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10. Red came up 18 times in 60 spins. Relative frequency of red?
- 0.18
- 0.3
- 3.3
- 0.6
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11. A fair spinner has 5 equal sections. Expected landings on one section in 50 spins?
- 5
- 10
- 50
- 25
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12. Will an experiment always match the theoretical probability exactly?
- Yes
- No
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13. A biased coin: P(tails) = 0.6. Expected tails in 50 tosses?
- 30
- 20
- 25
- 60
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14. Out of 80 people, 20 were left-handed. Estimate P(left-handed).
- 0.8
- 0.75
- 0.25
- 0.2
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15. When might you use experimental instead of theoretical probability?
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