Theoretical and Experimental Probability

Front

What is theoretical probability?

Back

Theoretical probability is the ratio of the number of favorable outcomes to the total number of possible outcomes in a given situation.

Front

How do you calculate the theoretical probability of rolling an even number on a number cube?

Back

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

Front

What is experimental probability?

Back

Experimental probability is the ratio of the number of times an event occurs to the total number of trials conducted.

Front

How do you find the experimental probability of rolling a 1 based on data from 50 rolls?

Back

To find the experimental probability of rolling a 1, divide the number of times a 1 was rolled by the total number of rolls (50).

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

What is the probability of spinning red if there are 3 red sections out of 10 total sections?

Back

The probability of spinning red is 3/10.

Front

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

Back

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

Front

What is the formula for calculating probability?

Back

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

Front

What does it mean if an event has a probability of 0?

Back

A probability of 0 means that the event is impossible and will not occur.

Front

What does it mean if an event has a probability of 1?

Back

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