Theoretical and Experimental Probability

Front

What is theoretical probability?

Back

The likelihood of an event occurring based on a model.

Front

What is experimental probability?

Back

Probability observed by performing the experiment.

Front

If a coin is flipped 100 times, how many heads does the theoretical model predict?

Back

50 heads (100 x 0.50 = 50).

Front

What does it mean if experimental results are close to theoretical probability?

Back

It suggests that the experiment is likely valid and the coin is fair.

Front

How can flipping a coin 100 times be used to infer about coin flipping in general?

Back

Flipping a coin 100 times provides a sample. The results can be compared to the theoretical model to make inferences about the fairness of the coin.

Front

What is the expected number of tails when flipping a coin 1,000 times?

Back

500 tails (1,000 x 0.50 = 500).

Front

What does a result of 80 heads out of 100 flips suggest about the fairness of a coin?

Back

It suggests the coin may not be fair, as the expected result is 50 heads.

Front

What is the difference between theoretical and experimental probability?

Back

Theoretical probability is based on a model, while experimental probability is based on actual results from an experiment.

Front

What is a sample in the context of probability experiments?

Back

A sample is a set of observations or results obtained from conducting an experiment.

Front

What is a model in probability?

Back

A model is a theoretical representation that predicts outcomes based on certain assumptions.