Enter the probability of success into the calculator to determine the expected number of trials.
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Expected Number of Trials Formula
The following formula is used to calculate the expected number of trials for a given probability of success.
E = \frac{1}{P}Variables:
- E is the expected number of trials
- P is the probability of success
To calculate the expected number of trials, divide 1 by the probability of success.
What is the Expected Number of Trials?
The expected number of trials is a statistical measure that indicates the average number of trials needed to achieve a success in a probabilistic experiment. This concept is commonly used in scenarios where the outcome is binary (success or failure), such as quality control tests, clinical trials, and gambling. The expected number of trials is inversely proportional to the probability of success; as the probability of success increases, the expected number of trials decreases.
How to Calculate Expected Number of Trials?
The following steps outline how to calculate the Expected Number of Trials.
- First, determine the probability of success (P).
- Next, use the formula E = 1 / P to calculate the expected number of trials.
- Finally, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Probability of success (P) = 0.2
Expected number of trials (E) = 1 / 0.2 = 5