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Theoretical & Experimental Probability — Easy Worksheet 1
Grade 7 · MathSheets Name: ____________________ Date: __________
Write probabilities as fractions in simplest form. Answer predictions with a whole number.
How to solve
Theoretical probability = favorable outcomes ÷ possible outcomes, found by reasoning (a fair number cube lands on 5 with probability 16). Experimental probability = times the event happened ÷ total trials, found from data. To predict, multiply the probability by the number of trials: 16 × 60 = 10 times.
Example
A marble is picked at random from the bag shown. What is the theoretical probability that it is blue?
Answer: 12
Not quite. The answer is
💡 The bag has 1 red and 6 blue marbles, 1 + 6 = 7 in all. 1 of them is red. P = 17. 17 is already in simplest form. The probability is 17.
✓ Correct!
Not quite. The answer is
💡 The bag has 1 red and 6 blue marbles, 1 + 6 = 7 in all. 1 of them is red. P = 17. 17 is already in simplest form. The probability is 17.
💡 How to solve: Theoretical & Experimental Probability
Theoretical probability = favorable outcomes ÷ possible outcomes, found by reasoning (a fair number cube lands on 5 with probability 16). Experimental probability = times the event happened ÷ total trials, found from data. To predict, multiply the probability by the number of trials: 16 × 60 = 10 times.
Try a similar one
A marble is picked at random from the bag shown. What is the theoretical probability that it is red?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The green bar shows 18, so the spinner landed on green 18 times out of 50 spins. P = 1850. Simplify: divide the top and the bottom by 2: 1850 = 925. The probability is 925.
✓ Correct!
Not quite. The answer is
💡 The green bar shows 18, so the spinner landed on green 18 times out of 50 spins. P = 1850. Simplify: divide the top and the bottom by 2: 1850 = 925. The probability is 925.
💡 How to solve: Theoretical & Experimental Probability
Theoretical probability = favorable outcomes ÷ possible outcomes, found by reasoning (a fair number cube lands on 5 with probability 16). Experimental probability = times the event happened ÷ total trials, found from data. To predict, multiply the probability by the number of trials: 16 × 60 = 10 times.
Try a similar one
A marble is picked at random from the bag shown. What is the theoretical probability that it is blue?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 A number cube has 6 equally likely outcomes, and 1 of them (5) gives a 5, so the probability is 16. Multiply by the number of rolls: 16 × 24 = 24 ÷ 6 = 4. Expect about 4 times.
✓ Correct!
Not quite. The answer is
💡 A number cube has 6 equally likely outcomes, and 1 of them (5) gives a 5, so the probability is 16. Multiply by the number of rolls: 16 × 24 = 24 ÷ 6 = 4. Expect about 4 times.
💡 How to solve: Theoretical & Experimental Probability
Theoretical probability = favorable outcomes ÷ possible outcomes, found by reasoning (a fair number cube lands on 5 with probability 16). Experimental probability = times the event happened ÷ total trials, found from data. To predict, multiply the probability by the number of trials: 16 × 60 = 10 times.
Try a similar one
A marble is picked at random from the bag shown. What is the theoretical probability that it is blue?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Heads came up 50 times out of 80 flips. P = 5080. Simplify: divide the top and the bottom by 10: 5080 = 58. The probability is 58.
✓ Correct!
Not quite. The answer is
💡 Heads came up 50 times out of 80 flips. P = 5080. Simplify: divide the top and the bottom by 10: 5080 = 58. The probability is 58.
💡 How to solve: Theoretical & Experimental Probability
Theoretical probability = favorable outcomes ÷ possible outcomes, found by reasoning (a fair number cube lands on 5 with probability 16). Experimental probability = times the event happened ÷ total trials, found from data. To predict, multiply the probability by the number of trials: 16 × 60 = 10 times.
Try a similar one
A marble is picked at random from the bag shown. What is the theoretical probability that it is blue?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The blue bar shows 16 out of 25 spins, so the experimental probability is 1625. Multiply by the number of spins: 1625 × 75 = 75 ÷ 25 × 16 = 3 × 16 = 48. Predict about 48 times.
✓ Correct!
Not quite. The answer is
💡 The blue bar shows 16 out of 25 spins, so the experimental probability is 1625. Multiply by the number of spins: 1625 × 75 = 75 ÷ 25 × 16 = 3 × 16 = 48. Predict about 48 times.
💡 How to solve: Theoretical & Experimental Probability
Theoretical probability = favorable outcomes ÷ possible outcomes, found by reasoning (a fair number cube lands on 5 with probability 16). Experimental probability = times the event happened ÷ total trials, found from data. To predict, multiply the probability by the number of trials: 16 × 60 = 10 times.
Try a similar one
A marble is picked at random from the bag shown. What is the theoretical probability that it is red?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The bag has 4 red and 4 blue marbles, 4 + 4 = 8 in all. 4 of them are red. P = 48. Simplify: divide the top and the bottom by 4: 48 = 12. The probability is 12.
✓ Correct!
Not quite. The answer is
💡 The bag has 4 red and 4 blue marbles, 4 + 4 = 8 in all. 4 of them are red. P = 48. Simplify: divide the top and the bottom by 4: 48 = 12. The probability is 12.
💡 How to solve: Theoretical & Experimental Probability
Theoretical probability = favorable outcomes ÷ possible outcomes, found by reasoning (a fair number cube lands on 5 with probability 16). Experimental probability = times the event happened ÷ total trials, found from data. To predict, multiply the probability by the number of trials: 16 × 60 = 10 times.
Try a similar one
A marble is picked at random from the bag shown. What is the theoretical probability that it is blue?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 A number cube has 6 equally likely outcomes, and 1 of them (5) gives a 5, so the probability is 16. Multiply by the number of rolls: 16 × 66 = 66 ÷ 6 = 11. Expect about 11 times.
✓ Correct!
Not quite. The answer is
💡 A number cube has 6 equally likely outcomes, and 1 of them (5) gives a 5, so the probability is 16. Multiply by the number of rolls: 16 × 66 = 66 ÷ 6 = 11. Expect about 11 times.
💡 How to solve: Theoretical & Experimental Probability
Theoretical probability = favorable outcomes ÷ possible outcomes, found by reasoning (a fair number cube lands on 5 with probability 16). Experimental probability = times the event happened ÷ total trials, found from data. To predict, multiply the probability by the number of trials: 16 × 60 = 10 times.
Try a similar one
A marble is picked at random from the bag shown. What is the theoretical probability that it is red?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The green bar shows 8, so the spinner landed on green 8 times out of 20 spins. P = 820. Simplify: divide the top and the bottom by 4: 820 = 25. The probability is 25.
✓ Correct!
Not quite. The answer is
💡 The green bar shows 8, so the spinner landed on green 8 times out of 20 spins. P = 820. Simplify: divide the top and the bottom by 4: 820 = 25. The probability is 25.
💡 How to solve: Theoretical & Experimental Probability
Theoretical probability = favorable outcomes ÷ possible outcomes, found by reasoning (a fair number cube lands on 5 with probability 16). Experimental probability = times the event happened ÷ total trials, found from data. To predict, multiply the probability by the number of trials: 16 × 60 = 10 times.
Try a similar one
A marble is picked at random from the bag shown. What is the theoretical probability that it is blue?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Theoretical & Experimental Probability — Easy Worksheet 1
Write probabilities as fractions in simplest form. Answer predictions with a whole number.