Math 7 worksheet on theoretical and experimental probability with real-world applications.

1. a. Theoretical probability of landing on 3: 1/6
b. Experimental probability of not landing on 6: 4/5
c. The experimental probability (4/5) is greater than the theoretical probability (5/6).
d. The experimental probability is close to the theoretical probability, but not exactly the same due to randomness in trials.

2. a. The probability that someone surveyed prefers reading novels: 0.10
b. Of 500 people surveyed, you would expect 50 to prefer reading novels.
c. It is reasonable to expect 50 people to prefer reading novels because 10% of 500 is 50.
d. You cannot say for sure because individual preferences vary and the survey results are based on a sample.

3. a. Theoretical probability of landing on green: 1/4
b. Experimental probability of landing on red: 10/50 = 1/5
c. If the spinner is spun 50 more times, you would expect about 12 or 13 more landings on red, since 1/4 of 50 is 12.5.