The formula to calculate the Empirical Probability (PEmpirical) is:
\[ P_{\text{Empirical}} = \frac{n_{\text{Event Occurs}}}{n_{\text{Total Trials}}} \]
Where:
Empirical Probability is the fraction of the number of times of successful completion of a particular event with respect to the total number of trials of the random experiment.
Number of Times Event Occurs is the total number of times when a particular event is completed successfully during multiple rounds of a random experiment.
Total Number of Trials is the total number of repetitions of a particular random experiment, under similar circumstances.
Let's assume the following values:
Using the formula:
\[ P_{\text{Empirical}} = \frac{n_{\text{Event Occurs}}}{n_{\text{Total Trials}}} \]
Evaluating:
\[ P_{\text{Empirical}} = \frac{14}{20} \]
The Empirical Probability is 0.7.
| Number of Times Event Occurs | Total Number of Trials | Empirical Probability |
|---|---|---|
| 1 | 20 | 0.05 |
| 2 | 20 | 0.10 |
| 3 | 20 | 0.15 |
| 4 | 20 | 0.20 |
| 5 | 20 | 0.25 |
| 6 | 20 | 0.30 |
| 7 | 20 | 0.35 |
| 8 | 20 | 0.40 |
| 9 | 20 | 0.45 |
| 10 | 20 | 0.50 |
| 11 | 20 | 0.55 |
| 12 | 20 | 0.60 |
| 13 | 20 | 0.65 |
| 14 | 20 | 0.70 |
| 15 | 20 | 0.75 |
| 16 | 20 | 0.80 |
| 17 | 20 | 0.85 |
| 18 | 20 | 0.90 |
| 19 | 20 | 0.95 |
| 20 | 20 | 1.00 |
| 21 | 20 | 1.05 |
| 22 | 20 | 1.10 |
| 23 | 20 | 1.15 |
| 24 | 20 | 1.20 |
| 25 | 20 | 1.25 |
| 26 | 20 | 1.30 |
| 27 | 20 | 1.35 |
| 28 | 20 | 1.40 |
| 29 | 20 | 1.45 |
| 30 | 20 | 1.50 |
| 31 | 20 | 1.55 |
| 32 | 20 | 1.60 |
| 33 | 20 | 1.65 |
| 34 | 20 | 1.70 |
| 35 | 20 | 1.75 |
| 36 | 20 | 1.80 |
| 37 | 20 | 1.85 |
| 38 | 20 | 1.90 |
| 39 | 20 | 1.95 |
| 40 | 20 | 2.00 |
| 41 | 20 | 2.05 |
| 42 | 20 | 2.10 |
| 43 | 20 | 2.15 |
| 44 | 20 | 2.20 |
| 45 | 20 | 2.25 |
| 46 | 20 | 2.30 |
| 47 | 20 | 2.35 |
| 48 | 20 | 2.40 |
| 49 | 20 | 2.45 |
| 50 | 20 | 2.50 |
| 51 | 20 | 2.55 |
| 52 | 20 | 2.60 |
| 53 | 20 | 2.65 |
| 54 | 20 | 2.70 |
| 55 | 20 | 2.75 |
| 56 | 20 | 2.80 |
| 57 | 20 | 2.85 |
| 58 | 20 | 2.90 |
| 59 | 20 | 2.95 |
| 60 | 20 | 3.00 |
| 61 | 20 | 3.05 |
| 62 | 20 | 3.10 |
| 63 | 20 | 3.15 |
| 64 | 20 | 3.20 |
| 65 | 20 | 3.25 |
| 66 | 20 | 3.30 |
| 67 | 20 | 3.35 |
| 68 | 20 | 3.40 |
| 69 | 20 | 3.45 |
| 70 | 20 | 3.50 |
| 71 | 20 | 3.55 |
| 72 | 20 | 3.60 |
| 73 | 20 | 3.65 |
| 74 | 20 | 3.70 |
| 75 | 20 | 3.75 |
| 76 | 20 | 3.80 |
| 77 | 20 | 3.85 |
| 78 | 20 | 3.90 |
| 79 | 20 | 3.95 |
| 80 | 20 | 4.00 |
| 81 | 20 | 4.05 |
| 82 | 20 | 4.10 |
| 83 | 20 | 4.15 |
| 84 | 20 | 4.20 |
| 85 | 20 | 4.25 |
| 86 | 20 | 4.30 |
| 87 | 20 | 4.35 |
| 88 | 20 | 4.40 |
| 89 | 20 | 4.45 |
| 90 | 20 | 4.50 |
| 91 | 20 | 4.55 |
| 92 | 20 | 4.60 |
| 93 | 20 | 4.65 |
| 94 | 20 | 4.70 |
| 95 | 20 | 4.75 |
| 96 | 20 | 4.80 |
| 97 | 20 | 4.85 |
| 98 | 20 | 4.90 |
| 99 | 20 | 4.95 |
| 100 | 20 | 5.00 |
