1. What is Compound Probability?

Compound probability refers to the probability of two or more independent events occurring together. For three independent events A, B, and C, the compound probability is the product of their individual probabilities.

2. How Does the Calculator Work?

The calculator uses the compound probability formula:

Where:

• \( P \) — Compound probability (dimensionless)
• \( P(A) \) — 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: The formula assumes all three events are independent. The result is always between 0 (impossible) and 1 (certain).

3. Importance of Compound Probability

Details: Compound probability is fundamental in statistics, risk assessment, and decision making. It helps calculate the likelihood of multiple independent events occurring simultaneously.

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 to use conditional probabilities.

Q2: Can I use percentages instead of decimals?
A: No, you must convert percentages to decimals (e.g., 25% = 0.25) before entering them.

Q3: What does a result of 0 mean?
A: A result of 0 means the combined events are impossible (at least one event has 0 probability).

Q4: What does a result of 1 mean?
A: A result of 1 means the combined events are certain (all individual probabilities are 1).

Q5: How accurate is the result?
A: The result is mathematically exact for independent events, given precise input probabilities.