10.3 Experimental vs Theoretical Probability

Front

What is Theoretical Probability?

Back

Theoretical Probability is the likelihood of an event happening based on all possible outcomes, calculated using the formula: P(Event) = Number of favorable outcomes / Total number of outcomes.

Front

What is Experimental Probability?

Back

Experimental Probability is the likelihood of an event happening based on actual experiments or trials, calculated using the formula: P(Event) = Number of times the event occurs / Total number of trials.

Front

What does Frequency mean in probability?

Back

Frequency refers to the number of times an outcome appears in a set of trials.

Front

What is the complement of an event?

Back

The complement of an event is the opposite of that event, meaning it includes all outcomes that are not part of the event.

Front

If a die is rolled 6 times and a 1 appears 2 times, what is the Experimental Probability of rolling a 1?

Back

The Experimental Probability of rolling a 1 is 2/6.

Front

What is the formula for calculating Theoretical Probability?

Back

The formula for calculating Theoretical Probability is P(Event) = Number of favorable outcomes / Total number of outcomes.

Front

What is the difference between Experimental and Theoretical Probability?

Back

Theoretical Probability is based on expected outcomes, while Experimental Probability is based on actual outcomes from experiments.

Front

If an event has a probability of 0, what does that mean?

Back

A probability of 0 means that the event cannot occur.

Front

If an event has a probability of 1, what does that mean?

Back

A probability of 1 means that the event is certain to occur.

Front

What is an example of an event with a Theoretical Probability of 1/2?

Back

Flipping a fair coin and getting heads has a Theoretical Probability of 1/2.