Theoretical and Experimental Probability Warm up

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 the results of an actual experiment, calculated using the formula: P(Event) = Number of times the event occurs / Total number of trials.

Front

If an arrow is spun 15 times and lands on a section labeled Q 4 times, what is the experimental probability of landing on Q?

Back

The experimental probability of landing on Q is 4/15.

Front

Neil tossed a 6-sided die 90 times. If the number 1 appeared 13 times, what is the experimental probability of rolling a 1?

Back

The experimental probability of rolling a 1 is 13/90.

Front

What is the formula for calculating probability?

Back

Probability = Number of favorable outcomes / Total number of outcomes.

Front

In a bar graph showing the results of rolling a number cube 50 times, if the number 3 appeared 10 times, what is the experimental probability of rolling a 3?

Back

The experimental probability of rolling a 3 is 10/50 or 1/5.

Front

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

Back

It means that the results of the experiment are consistent with the expected outcomes based on theoretical calculations.

Front

If a number cube is rolled 100 times and the number 6 appears 15 times, what is the experimental probability of rolling a 6?

Back

The experimental probability of rolling a 6 is 15/100 or 3/20.

Front

What is the difference between theoretical and experimental probability?

Back

Theoretical probability is based on expected outcomes, while experimental probability is based on actual results from experiments.

Front

If a spinner has 4 equal sections and lands on one section 2 times out of 10 spins, what is the experimental probability of landing on that section?

Back

The experimental probability is 2/10 or 1/5.