experimental and theoretical probability

Front

What is experimental probability?

Back

Experimental probability is the probability determined by performing an experiment and observing the outcomes.

Front

What is theoretical probability?

Back

Theoretical probability is the probability calculated based on the possible outcomes in a perfect scenario, without conducting an experiment.

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 formula for theoretical probability?

Back

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

Front

If a die is rolled 12 times and a number less than 7 is rolled every time, what is the experimental probability of rolling a number less than 7?

Back

100%.

Front

What is the difference between experimental and theoretical probability?

Back

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

Front

If a spinner is spun 30 times and lands on blue 12 times, what is the experimental probability of landing on a color that is not blue?

Back

3/5.

Front

What is the theoretical probability of rolling a 5 on a fair six-sided die?

Back

1/6.

Front

What does it mean if an experimental probability is close to the theoretical probability?

Back

It indicates that the experiment is reliable and the outcomes are consistent with the expected results.

Front

Can experimental probability change with more trials?

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Yes, as more trials are conducted, the experimental probability may converge towards the theoretical probability.