Experimental and Theoretical Probability

The video tutorial covers theoretical and experimental probability, explaining the difference between what should happen in theory and what actually happens in practice. It provides examples using cards and dice, and includes practice problems involving surveys and predictions. The tutorial emphasizes the importance of understanding both types of probability and demonstrates how repeated experiments can align experimental results with theoretical expectations.

What is the theoretical probability of drawing a heart from a standard deck of four cards, each representing a suit?

• 1/4

• 1/5

• 1/3

• 1/2

If a die is rolled, what is the theoretical probability of rolling a one?

• 1/3

• 1/2

• 1/4

• 1/6

How is experimental probability determined?

• By conducting an experiment and observing the results

• By using a theoretical model

• By guessing the outcomes

• By calculating the expected outcomes

In an experiment, if a die is rolled 12 times and a one appears 6 times, what is the experimental probability of rolling a one?

• 1/2

• 1/3

• 1/4

• 1/6

If 52 out of 200 surveyed teens listen to music, what is the experimental probability of a teen listening to music?

• 1/3

• 13/50

• 1/4

• 1/5

Using the probability of 13/50, predict how many out of 450 students will listen to music.

• 117

• 130

• 100

• 150

If 10 out of 200 students like to draw, what is the reduced probability of a student liking to draw?

• 1/10

• 1/20

• 1/25

• 1/15

Predict how many out of 900 students will like to draw if the probability is 1/20.

• 55

• 40

• 50

• 45

In a dice experiment, what is the theoretical probability of rolling an even number?

• 1/6

• 1/4

• 1/3

• 1/2

If a die is rolled 10 times and no twos appear, what is the experimental probability of rolling a two?

• 0%

• 5%

• 16.6%

• 10%