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Experimental and theoretical probability

Name: _____________________ Date: __________

Show your thinking with numbers, words, or a drawing.

1. Kai spun a spinner with 4 equal sections, one of them red, 20 times. It landed on red 11 times. What was the experimental probability of red?

2. Kai spun a spinner with 4 equal sections, one of them red, 24 times. It landed on red 10 times. What was the experimental probability of red?

3. Kai spun a spinner with 4 equal sections, one of them red, 20 times. It landed on red 15 times. What was the experimental probability of red?

4. Omar rolled a standard dice 60 times. A six came up 42 times. What was the experimental probability of a six?

5. Ella tossed a coin 20 times. It landed on heads 17 times. What was the experimental probability of heads?

Answer key ยท Experimental and theoretical probability

1. 11/20

Experimental probability uses the results, not the theory.

Red happened 11 times out of 20 trials.

Experimental probability = 11/20.

2. 5/12

Experimental probability uses the results, not the theory.

Red happened 10 times out of 24 trials.

Experimental probability = 10/24 = 5/12.

3. 3/4

Experimental probability uses the results, not the theory.

Red happened 15 times out of 20 trials.

Experimental probability = 15/20 = 3/4.

4. 7/10

Experimental probability uses the results, not the theory.

A six happened 42 times out of 60 trials.

Experimental probability = 42/60 = 7/10.

5. 17/20

Experimental probability uses the results, not the theory.

Heads happened 17 times out of 20 trials.

Experimental probability = 17/20.

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