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

Front

If a number cube is tossed, what is the theoretical probability of landing on an even number?

Back

The theoretical probability of landing on an even number (2, 4, 6) is 3/6, which reduces to 1/2.

Front

What is the formula for calculating experimental probability?

Back

P(Event) = Number of times the event occurs / Total number of trials.

Front

If a spinner is spun 30 times and lands on blue 12 times, what is the experimental probability of landing on blue?

Back

The experimental probability of landing on blue is 12/30, which reduces to 2/5.

Front

What is the experimental probability of NOT landing on blue if it landed on blue 12 times out of 30 spins?

Back

The experimental probability of NOT landing on blue is 18/30, which reduces to 3/5.

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, what is the theoretical probability of landing on any one section?

Back

The theoretical probability of landing on any one section is 1/4.

Front

What is the theoretical probability of rolling a 4 on a number cube?

Back

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

Front

How do you calculate the total number of outcomes for a number cube?

Back

A number cube has 6 faces, so the total number of outcomes is 6.