To calculate the empirical probability of an event, you follow these steps:
1. Count the number of times the event occurs: This is known as the number of favorable outcomes (event occurrences). For example, if you are observing the occurrence of a specific event and it happens 25 times, then the number of favorable outcomes is 25.
2. Determine the total number of observations: This refers to the total number of trials or instances observed. For instance, if you conduct 100 trials or observations in total, then the total number of observations is 100.
3. Divide the number of event occurrences by the total number of observations: The empirical probability is calculated as the ratio of the number of favorable outcomes to the total number of observations.
In this specific case:
- The number of times the event occurs is 25.
- The total number of observations is 100.
So, the empirical probability is calculated as:
[tex]\[ \text{Empirical Probability} = \frac{\text{Number of Event Occurrences}}{\text{Total Number of Observations}} = \frac{25}{100} \][/tex]
When you perform the division, [tex]\( \frac{25}{100} \)[/tex] equals 0.25.
Thus, the empirical probability is 0.25.
The correct answer to how empirical probability is calculated is:
- The number of times the event occurs divided by the total number of observations.
