Enter the number of favorable outcomes and the total number of outcomes in the sample into the calculator to determine the sample probability. This calculator can also evaluate any of the variables given the others are known.

Sample Probability Formula

The following formula is used to calculate the sample probability.

SP = f / t

Variables:

  • SP is the sample probability
  • f is the number of favorable outcomes
  • t is the total number of outcomes in the sample

To calculate the sample probability, divide the number of favorable outcomes by the total number of outcomes in the sample. This will give you the likelihood or chance of an event occurring within the specific sample.

What is a Sample Probability?

Sample probability refers to the likelihood or chance of an event occurring within a specific sample of a larger population. It is calculated by dividing the number of favorable outcomes by the total number of outcomes in the sample. This concept is fundamental in statistics and probability theory, and it is used to make predictions or inferences about the larger population based on the observed data in the sample.

How to Calculate Sample Probability?

The following steps outline how to calculate the Sample Probability using the formula: SP = f / t.


  1. First, determine the number of favorable outcomes (f).
  2. Next, determine the total number of outcomes in the sample (t).
  3. Next, gather the formula from above = SP = f / t.
  4. Finally, calculate the Sample Probability.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem:

Use the following variables as an example problem to test your knowledge.

number of favorable outcomes (f) = 8

total number of outcomes in the sample (t) = 20