Math

Probability Basics: Favorable Outcomes and Total Outcomes

Learn the basic probability formula and how to express a result as a fraction, decimal or percentage.

CalcCove editorial

Basic probability compares the outcomes you want with all possible outcomes. The same result can be displayed as a fraction, decimal or percentage.

The basic formula

Probability equals favorable outcomes divided by total outcomes. One favorable result in six equally likely outcomes is 1/6, or about 16.67%.

Check the assumptions

The simple formula assumes the outcomes are counted correctly and are equally likely. Real-world events may need a different model or more data.

Use probability for comparison

A probability is not a promise that an event will happen in a single trial. It describes the expected share over repeated comparable trials.

  • Keep favorable outcomes no greater than total outcomes.
  • Use the same event definition each time.
  • Convert the result to the format your audience understands.

Frequently asked questions

Can probability be greater than 100%?

No. A valid probability is between 0% and 100%, inclusive.

Does a 20% chance mean it will happen once in five tries?

Not exactly. It is a long-run expectation, not a guarantee for a small number of trials.