1. What is Probability of a Single Event?

Probability of a single event measures the likelihood that a specific outcome will occur, expressed as a number between 0 (impossible) and 1 (certain). It's calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

2. How Does the Calculator Work?

The calculator uses the basic probability formula:

Where:

• \( P \) — Probability of the event (between 0 and 1)
• Favorable Outcomes — Number of ways the event can occur
• Total Outcomes — Total number of possible outcomes

Explanation: This formula assumes all outcomes are equally likely. For example, the probability of rolling a 3 on a fair die is 1/6 ≈ 0.1667 (16.67%).

3. Importance of Probability Calculation

Details: Probability is fundamental in statistics, risk assessment, decision making, and many real-world applications from weather forecasting to financial modeling.

4. Using the Calculator

Tips: Enter the count of favorable outcomes (must be ≥0) and total possible outcomes (must be ≥1). The calculator will display the probability as a decimal and percentage.

5. Frequently Asked Questions (FAQ)

Q1: What if my favorable count is greater than total?
A: The calculator will show an error since favorable outcomes cannot exceed total possible outcomes.

Q2: Can probability be greater than 1?
A: No, probability ranges from 0 (impossible) to 1 (certain). Values outside this range indicate invalid inputs.

Q3: What does a probability of 0.5 mean?
A: A probability of 0.5 (50%) means the event has an equal chance of occurring or not occurring.

Q4: How is this different from odds?
A: Probability is favorable/total, while odds are favorable:unfavorable. For example, 1:5 odds equals 1/6 probability.

Q5: What about dependent events?
A: This calculator is for simple, independent events. For dependent events, conditional probability formulas are needed.