The formula to calculate the Binomial Probability (PBinomial) is:
\[ P_{\text{Binomial}} = C(n_{\text{Total Trials}}, r) \cdot p_{\text{BD}}^r \cdot q^{(n_{\text{Total Trials}} - r)} \]
Where:
Binomial Probability is the fraction of the number of times of successful completion of a particular event in multiple rounds of a random experiment which follows binomial distribution.
Total Number of Trials is the total number of repetitions of a particular random experiment, under similar circumstances.
Number of Successful Trials is the required number of successes of a particular event in multiple rounds of a random experiment that follows a binomial distribution.
Probability of Success in Binomial Distribution is the likelihood of winning an event.
Probability of Failure is the likelihood of losing an event.
Let's assume the following values:
Using the formula:
\[ P_{\text{Binomial}} = C(n_{\text{Total Trials}}, r) \cdot p_{\text{BD}}^r \cdot q^{(n_{\text{Total Trials}} - r)} \]
Evaluating:
\[ P_{\text{Binomial}} = C(20, 4) \cdot 0.6^4 \cdot 0.4^{(20 - 4)} \]
The Binomial Probability is 0.000269686150476595.
| Total Number of Trials | Number of Successful Trials | Probability of Success in Binomial Distribution | Probability of Failure | Binomial Probability |
|---|