Probability Calculator

Published on: August 31, 2025
Final Answer: Free Full Steps: Plus

This Probability Calculator helps you find the probability of an event and shows each step clearly. It works by dividing the number of favourable outcomes by the total number of possible outcomes. This makes it useful for checking answers, understanding how probability is calculated, and practising statistics and probability step by step.

Step-by-step method

  1. Identify the favourable outcomes and the total outcomes.
  2. Write the probability formula.
  3. Substitute the values into the formula and calculate the probability.

Formula:

\(P = \frac{f}{n}\)

Example 1: Take the values below.

\(f = 3,\; n = 12\)

Step 1 - Identify the favourable outcomes and the total outcomes.

In this problem: The given values are \(f = 3\) and \(n = 12\).

\(f = 3,\; n = 12\)

Step 2 - Write the probability formula.

In this problem: Probability is found by dividing the number of favourable outcomes by the total number of possible outcomes: \(P = \frac{f}{n}\).

\(P = \frac{f}{n}\)

Step 3 - Substitute the values into the formula and calculate the probability.

In this problem: Substitute \(f = 3\) and \(n = 12\): \(P = \frac{3}{12} = 0.25\).

\(P = \frac{3}{12} = 0.25\)

Final answer:

\(P = 0.25\)

Example 2: Take the values below.

\(f = 4,\; n = 7\)

Step 1 - Identify the favourable outcomes and the total outcomes.

In this problem: The given values are \(f = 4\) and \(n = 7\).

\(f = 4,\; n = 7\)

Step 2 - Write the probability formula.

In this problem: Probability is found by dividing the number of favourable outcomes by the total number of possible outcomes: \(P = \frac{f}{n}\).

\(P = \frac{f}{n}\)

Step 3 - Substitute the values into the formula and calculate the probability.

In this problem: Substitute \(f = 4\) and \(n = 7\): \(P = \frac{4}{7} \approx 0.57\).

\(P = \frac{4}{7} \approx 0.57\)

Final answer:

\(P \approx 0.57\)