Experimental vs Theoretical Probability (Year 9)
Free printable NZ Year 9 maths worksheet: find the experimental probability from trial data (dice and coin flips) and compare it to the theoretical probability.
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Grade 8 · Math worksheet
Name
Date
Math
Experimental vs Theoretical Probability
Find the experimental probability from the trial data given, and compare it to the theoretical probability.
- 1.A fair six-sided die is rolled 60 times. The number 3 comes up 8 times. Find the experimental probability of rolling a 3 as a fraction, and state whether it is higher than, lower than, or equal to the theoretical probability of 16.
- 2.A fair six-sided die is rolled 30 times. The number 5 comes up 4 times. Find the experimental probability of rolling a 5 as a fraction, and state whether it is higher than, lower than, or equal to the theoretical probability of 16.
- 3.A fair six-sided die is rolled 40 times. The number 4 comes up 10 times. Find the experimental probability of rolling a 4 as a fraction, and state whether it is higher than, lower than, or equal to the theoretical probability of 16.
- 4.A fair six-sided die is rolled 50 times. The number 1 comes up 16 times. Find the experimental probability of rolling a 1 as a fraction, and state whether it is higher than, lower than, or equal to the theoretical probability of 16.
- 5.A die is rolled 36 times, with results: 1 -> 0, 2 -> 14, 3 -> 14, 4 -> 2, 5 -> 4, 6 -> 2. Find the experimental probability of rolling a 2.
- 6.A die is rolled 36 times, with results: 1 -> 3, 2 -> 6, 3 -> 6, 4 -> 13, 5 -> 2, 6 -> 6. Find the experimental probability of rolling a 2.
- 7.A die is rolled 36 times, with results: 1 -> 3, 2 -> 15, 3 -> 1, 4 -> 5, 5 -> 2, 6 -> 10. Find the experimental probability of rolling a 6.
- 8.A fair coin is flipped 40 times and lands on heads 14 times. Find the experimental probability of heads as a decimal (to 2 decimal places), and state whether it is higher than, lower than, or equal to the theoretical probability of 0.5.
- 9.A fair coin is flipped 40 times and lands on heads 28 times. Find the experimental probability of heads as a decimal (to 2 decimal places), and state whether it is higher than, lower than, or equal to the theoretical probability of 0.5.
- 10.A fair coin is flipped 40 times and lands on heads 22 times. Find the experimental probability of heads as a decimal (to 2 decimal places), and state whether it is higher than, lower than, or equal to the theoretical probability of 0.5.
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