Probability Calculator

Calculate probability from favorable and total outcomes. Find combined probability for independent or mutually exclusive events.

By Konstantin Iakovlev · Updated April 2026 · Source: Khan Academy

Mode

Probability

30.00%

Fraction

3/10

Odds

3 to 7

Probability Details

P(Event)0.3000
P(Not Event)0.7000
As Fraction3/10
As Percentage30.00%
As Decimal0.300000
Odds (for : against)3 to 7

Use the Probability Calculator above to calculate your results. Enter your values and see instant results — all calculations run in your browser.

Disclaimer: This calculator is for informational purposes only and does not constitute tax, financial, or legal advice. Results are estimates based on the information you provide and current rates. Always consult a qualified tax professional or financial advisor for advice specific to your situation.

How It Works

Estimating how likely something is becomes straightforward here, whether the question is broad or personal. Picture weighing the 2026 global economic forecast, where the IMF puts the odds of moderate growth at 70%, or sizing up your startup's shot at funding among the 50,000 venture capital firms projected to be active in 2026—the same underlying logic applies. Anyone who reasons from data, from business strategists to students, can put it to work.

The engine rests on a few core formulas. For a single event, probability P equals the number of favorable outcomes divided by the total number of possible outcomes. When two events A and B are independent, their joint probability is P(A and B) = P(A) * P(B). When A and B are mutually exclusive, the chance that either occurs is P(A or B) = P(A) + P(B).

Single-event accuracy hinges on counting outcomes honestly—every favorable case and every possible case must be accounted for. With combined events, the key distinction is whether they are independent, meaning one has no bearing on the other, or mutually exclusive, meaning they cannot both happen at once. Reaching for the independent-events formula when the events are actually mutually exclusive is a classic error that quietly corrupts the answer.

Example: 2026 Tech Investment Success

  1. 1 You are launching a new AI-powered educational platform in 2026. There are 10 major venture capital firms specializing in EdTech, and you've secured meetings with 3 of them. Additionally, there's a 60% chance that the overall EdTech market will grow by over 15% in 2026, a separate, independent factor influencing your success.
  2. 2 First, calculate the probability of securing funding from one of the 3 firms: 3 (favorable) / 10 (total) = 0.3 or 30%. Then, calculate the combined probability of securing funding AND the market growing by over 15%: P(funding) * P(market growth) = 0.3 * 0.6 = 0.18.
  3. 3 The probability of securing funding from one of the 3 target firms is 30%. The combined probability of securing funding AND the EdTech market growing by over 15% in 2026 is 18%.
  4. 4 This 18% combined probability represents a more realistic outlook for your startup's success, considering both your direct efforts and the broader market conditions. This type of analysis helps in setting realistic expectations and planning for contingencies in the competitive 2026 tech landscape.

Source: Khan Academy · Last updated: April 2026

Frequently Asked Questions

How do you calculate the probability of two events happening?
For independent events, multiply their individual probabilities. For example, the probability of flipping heads twice in a row is 1/2 times 1/2 = 1/4 or 25%.
What is the difference between independent and mutually exclusive events?
Independent events do not affect each other (like two coin flips). Mutually exclusive events cannot happen at the same time (like rolling a 3 and a 5 on one die). For mutually exclusive events, add their probabilities.
How do you calculate odds from probability?
Odds in favor equals probability divided by (1 minus probability). If the probability is 0.25 (25%), the odds are 0.25/0.75 = 1:3, meaning 1 favorable outcome for every 3 unfavorable.