Comparing Experimental and Theoretical Probability

Front

What is EXPERIMENTAL PROBABILITY?

Back

Experimental probability is what DID happen during the experiment.

Front

What is THEORETICAL PROBABILITY?

Back

Theoretical probability is what SHOULD happen in an experiment.

Front

If a fair number cube is rolled 20 times and the number 4 is rolled 6 times, what is the experimental probability of rolling a 4?

Back

The experimental probability of rolling a 4 is 6/20 or 3/10.

Front

What is the theoretical probability of rolling a 4 on a fair 6-sided die?

Back

The theoretical probability of rolling a 4 is 1/6.

Front

If the experimental probability of rolling a 3 is 15%, what is the theoretical probability of rolling a 3 on a fair 6-sided die?

Back

The theoretical probability of rolling a 3 is 1/6 or approximately 16.67%.

Front

How do you calculate experimental probability?

Back

Experimental probability is calculated by dividing the number of times an event occurs by the total number of trials.

Front

What is the relationship between experimental and theoretical probability?

Back

Experimental probability is based on actual experiments, while theoretical probability is based on expected outcomes.

Front

If a die is rolled 90 times and the results show a certain frequency for each number, how can you predict future rolls?

Back

You can use the experimental probability from the 90 rolls to predict future outcomes.

Front

What is the formula for theoretical probability?

Back

Theoretical probability = Number of favorable outcomes / Total number of possible outcomes.

Front

If a die is rolled 200 times, how many times would you expect to roll a 6?

Back

You would expect to roll a 6 about 1/6 of the time, which is approximately 33 times.