1. What is the Probability of Three Events?

The probability of three independent events occurring together is the product of their individual probabilities. This calculator computes the joint probability of three events A, B, and C occurring simultaneously.

2. How Does the Calculator Work?

The calculator uses the probability multiplication rule:

Where:

• \( P(A) \) — Probability of event A (0 to 1)
• \( P(B) \) — Probability of event B (0 to 1)
• \( P(C) \) — Probability of event C (0 to 1)

Explanation: For independent events, the occurrence of one doesn't affect the others, so their joint probability is simply the product of their individual probabilities.

3. Importance of Joint Probability Calculation

Details: Calculating joint probability is essential in statistics, risk assessment, and decision-making processes where multiple independent factors contribute to an outcome.

4. Using the Calculator

Tips: Enter probabilities for each event (values between 0 and 1). The calculator will compute the probability of all three events occurring together.

5. Frequently Asked Questions (FAQ)

Q1: What if the events are not independent?
A: This calculator assumes independence. For dependent events, you would need conditional probabilities and a different formula.

Q2: Can I use percentages instead of decimals?
A: The calculator expects probabilities as decimals (e.g., 0.5 for 50%), but it displays the result both as decimal and percentage.

Q3: What does a result of 0.25 mean?
A: It means there's a 25% chance that all three events will occur together.

Q4: What if I get a very small probability?
A: Small probabilities are common when multiplying several probabilities. This indicates the combined event is very unlikely.

Q5: Can this be used for more than three events?
A: The same principle applies for any number of independent events - just multiply all their probabilities together.