Theoretical Probability Vs Experimental Probability

Related Pages
Probability Tree Diagrams
Probability Without Replacement
Probability Word Problems
More than Lessons On Probability

The following tabular array highlights the difference between Experimental Probability and Theoretical Probability. Scroll downwardly the folio for more examples and solutions.

Experimental vs Theoretical Probability

How To Notice The Experimental Probability Of An Consequence?

Step one: Behave an experiment and record the number of times the event occurs and the number of times the activeness is performed.

Step 2: Split up the two numbers to obtain the Experimental Probability.

How To Detect The Theoretical Probability Of An Consequence?

The Theoretical Probability of an event is the number of ways the event can occur (favorable outcomes) divided past the number of total outcomes.

What Is The Theoretical Probability Formula?

The formula for theoretical probability of an effect is

Experimental Probability

One way to detect the probability of an outcome is to conduct an experiment.

Example:
A pocketbook contains 10 red marbles, 8 blue marbles and 2 yellow marbles. Find the experimental probability of getting a blue marble.

Solution:
Take a marble from the handbag.
Record the color and return the marble.
Repeat a few times (maybe 10 times).
Count the number of times a blueish marble was picked (Suppose it is 6).

The experimental probability of getting a blueish marble from the handbag is

How to find and apply experimental probability?

The following video gives some other case of experimental probability.

Show Video Lesson

How the results of the experimental probability may approach the theoretical probability?

Example:
The spinner below shows 10 as sized slices. Heather spun l times and got the following results.
a) From Heather's' results, compute the experimental probability of landing on yellow.
b) Bold that the spinner is fair, compute the theoretical probability of landing in yellow.

Show Video Lesson

Theoretical Probability

We tin can also detect the theoretical probability of an event.

Example:
A handbag contains ten red marbles, 8 blue marbles and 2 yellowish marbles. Detect the theoretical probability of getting a blue marble.

Solution:
There are 8 blue marbles. Therefore, the number of favorable outcomes = 8.
In that location are a total of twenty marbles. Therefore, the number of total outcomes = twenty

Example:
Find the probability of rolling an fifty-fifty number when y'all roll a die containing the numbers i-half dozen. Express the probability as a fraction, decimal, ratio and percent.

Solution:
The possible even numbers are 2, 4, half-dozen.
Number of favorable outcomes = 3.
Total number of outcomes = 6

The probability = (fraction) = 0.5 (decimal) = 1:2 (ratio) = fifty% (percent)

Comparing Theoretical And Experimental Probability

The post-obit video gives an instance of theoretical and experimental probability.

Example:
According to theoretical probability, how many times can we expect to land on each colour in a spinner, if nosotros accept 16 spins?
Conduct the experiment to get the experimental probability.

Nosotros will and so compare the Theoretical Probability and the Experimental Probability.

Evidence Video Lesson

The following video shows some other example of how to find the theoretical probability of an upshot.

Examples:

A spinner is divided into eight equal sectors, numbered 1 through viii.
a) What is the probability of spinning an odd numbers?
b) What is the probability of spinning a number divisible by 4?
b) What is the probability of spinning a number less than iii?
A spinner is divided into 8 equal sectors, numbered one through 8.
a) What is the probability of spinning a 2?
b) What is the probability of spinning a number from 1 to 4?
b) What is the probability of spinning a number divisible by 2?

Evidence Video Lesson

Try the free Mathway calculator and trouble solver below to do various math topics. Try the given examples, or type in your own problem and check your answer with the step-past-pace explanations.
Mathway Calculator Widget