Theoretical and Experimental Probability

Front

What is Theoretical Probability?

Back

Theoretical Probability is based on what SHOULD happen in an ideal situation, calculated using the formula: P(Event) = Number of favorable outcomes / Total number of outcomes.

Front

What is Experimental Probability?

Back

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

Front

If a die is rolled 90 times and the number 1 appears 13 times, what is the experimental probability of rolling a 1?

Back

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

Front

A spinner has 4 equal sections: red, blue, green, and yellow. What is the theoretical probability of landing on yellow?

Back

The theoretical probability of landing on yellow is 1/4.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

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 simplifies to 2/5.

Front

What is the formula for calculating probability?

Back

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

Front

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

Back

If an event has a probability of 0, it means that the event is impossible and will not occur.

Front

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

Back

If an event has a probability of 1, it means that the event is certain to occur.

Front

In a probability experiment, if you roll a die, what is the theoretical probability of rolling a number greater than 4?

Back

The theoretical probability of rolling a number greater than 4 (5 or 6) is 2/6, which simplifies to 1/3.