Probability and Experimental Data Analysis

The video tutorial explains experimental probability, which involves conducting experiments to determine the likelihood of an event. It includes a coin flip experiment to compare theoretical and experimental probabilities, followed by examples using shirt sales and vehicle color data to calculate probabilities. The tutorial emphasizes understanding probability through real-world data and experiments.

What is experimental probability?

• The probability calculated using historical data.

• The chance of an event occurring in a controlled environment.

• The probability determined by conducting an actual experiment.

• The likelihood of an event based on theoretical calculations.

In a coin flip experiment, what is the theoretical probability of landing on heads?

• 2/3

• 1/2

• 1/4

• 1/3

After flipping a coin 10 times, what was the experimental probability of getting heads?

• 1/2

• 3/5

• 2/5

• 4/5

What was the experimental probability of getting heads after 50 coin flips?

• 11/25

• 14/25

• 12/25

• 13/25

Why might experimental probability differ from theoretical probability?

• As a result of using biased coins.

• Because of the limited number of trials.

• Due to errors in calculation.

• Because theoretical probability is always inaccurate.

In the shirt sales example, what is the probability of selling a large or extra-large shirt?

• 3/5

• 1/5

• 2/5

• 1/2

How many large shirts were sold in the fundraiser example?

• 40

• 28

• 12

• 100

What is the probability of the next vehicle being a red car?

• 14/50

• 1/2

• 7/50

• 1/4

How many red cars were recorded in the parking lot example?

• 25

• 14

• 20

• 10

What is the total number of vehicles recorded in the parking lot example?

• 100

• 125

• 75

• 50