yCalculator

Probability Calculator

Last updated: April 2026

Basic probability

P(event) = favourable outcomes / total outcomes.

Probability

0.25

As fraction

1/4

As percentage

25%

Odds for

1:3

Odds against

3:1

Step-by-step working
  1. P(event) = favourable outcomes / total outcomes = 3/12.
  2. 3/12 = 1/4 = 0.25 = 25%.
  3. Odds for: 3:9 = 1:3.
  4. Odds against: 9:3 = 3:1.

What is probability?

Probability measures how likely an event is, from 0 for impossible to 1 for certain.

Independent vs dependent events

Independent events do not affect each other. Dependent events change the probability of later events.

Conditional probability and Bayes theorem

Conditional probability updates a probability after new information is known.

Binomial distribution explained

The binomial distribution models repeated yes/no trials with the same success probability each time.

What does this mean?

This calculator is designed to help you understand the likely number before you make a decision or start an application.

Your result should be checked against official UK guidance, especially if your circumstances include dependants, exemptions, prior leave, or a complex immigration history.

Treat the figure as a planning tool rather than legal advice. Where the answer affects an application deadline or major payment, speak to an authorised adviser.

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