Theoretical probability VS Experimental Probability

Front

What is the definition of theoretical probability?

Back

Theoretical probability is the likelihood of an event occurring based on all possible outcomes, without conducting any experiments.

Front

What is the definition of experimental probability?

Back

Experimental probability is the likelihood of an event occurring based on the results of an actual experiment or trial.

Front

If a coin is flipped 100 times, how many times would you expect tails to appear based on theoretical probability?

Back

50 times, since the theoretical probability of tails is 1/2.

Front

How do you calculate the theoretical probability of an event?

Back

Theoretical probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Front

In a bag with 4 green marbles, 3 red marbles, 2 blue marbles, and 1 yellow marble, what is the theoretical probability of drawing a blue marble?

Back

The theoretical probability of drawing a blue marble is 2/10 or 1/5.

Front

What is the formula for calculating experimental probability?

Back

Experimental probability is calculated by dividing the number of times an event occurs by the total number of trials.

Front

What does it mean if experimental probability differs significantly from theoretical probability?

Back

It may indicate that the sample size was too small or that the experiment was not conducted properly.

Front

What is an example of an event with a theoretical probability of 0?

Back

An event that is impossible, such as rolling a 7 on a standard 6-sided die.

Front

What is an example of an event with a theoretical probability of 1?

Back

An event that is certain to happen, such as flipping a coin and getting either heads or tails.

Front

What is the relationship between theoretical and experimental probability?

Back

Theoretical probability provides a prediction based on mathematical reasoning, while experimental probability is based on actual outcomes from experiments.