Lesson 10, Topic 6
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# Theoretical and Experimental Probability

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#### Topic Content:

• Theoretical and Experimental Probability

Theoretical Probability:  A theoretical probability is a probability of an event based on equally likely outcomes. e.g., throwing dice or tossing a coin.

Experimental Probability: This is a probability obtained by performing experiments or surveys. It is sometimes called relative frequency.

Relative frequency = $$\frac{number\:of\:successful\:trials}{total\:number\:of\:trials}$$

### Example 10.6.1:

Johnson threw a dice 200 times and he obtained the following frequency distribution

a. Find the relative frequency of throwing a 5
b. Find the relative frequency of throwing a prime number
c. Find the probability of throwing a 3 or a 6

Solution

(a) Frequency of scoring 5 = 35

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