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Theoretical Probability (11-4)

Theoretical Probability

Vocabulary

Theoretical Probability- used to find the probability of an event when all outcomes are equally likely.

Equally Likely- outcomes have the same probability.

Fair- possible outcomes of an experiment is equally likely.

Examples

The formula for theoretical probability of an event is

Example:
A bag contains 10 red marbles, 8 blue marbles and 2 yellow marbles. Find the theoretical probability of getting a blue marble.
Solution:
There are 8 blue marbles. Therefore, the number of favorable outcomes = 8.
There are a total of 20 marbles. Therefore, the number of total outcomes = 20


Example:
Find the probability of rolling an even number when you roll a die containing the numbers 1-6. Express the probability as a fraction, decimal, ratio and percent.
Solution:
The possible even numbers are 2, 4, 6. Number of favorable outcomes = 3.
Total number of outcomes = 6

The probability = (fraction) = 0.5 (decimal) = 1:2 (ratio) = 50% (percent)
 http://www.onlinemathlearning.com/theoretical-probability.html

Video Help

https://www.youtube.com/watch?v=9Zf1vt29QjA

https://www.youtube.com/watch?v=STgbaIhb9fo

https://www.youtube.com/watch?v=A5RiUoQW_kc

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