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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
| Score | 1 | 2 | 3 | 4 | 5 | 6 |
| Frequency | 32 | 34 | 30 | 33 | 35 | 36 |
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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