1. What is the Combined Probability Calculator?

The Combined Probability Calculator computes the overall probability of at least one event occurring when given two independent probabilities. It uses the formula: Combined = 1 - (1 - P1)(1 - P2).

2. How Does the Calculator Work?

The calculator uses the combined probability formula:

Where:

• \( P1 \) — Probability of first event (decimal)
• \( P2 \) — Probability of second event (decimal)

Explanation: This formula calculates the probability that at least one of two independent events will occur.

3. Importance of Combined Probability Calculation

Details: Calculating combined probabilities is essential in risk assessment, statistics, probability theory, and decision-making processes where multiple independent events are involved.

4. Using the Calculator

Tips: Enter both probabilities as decimal values between 0 and 1. The calculator will compute the combined probability of at least one event occurring.

5. Frequently Asked Questions (FAQ)

Q1: What does this formula calculate?
A: It calculates the probability that at least one of two independent events will occur.

Q2: Can I use percentages instead of decimals?
A: No, the calculator requires decimal inputs. Convert percentages to decimals by dividing by 100.

Q3: What if I have more than two probabilities?
A: The formula can be extended: Combined = 1 - (1 - P1)(1 - P2)...(1 - Pn) for n independent events.

Q4: Are there limitations to this formula?
A: This formula only applies to independent events. For dependent events, different calculations are required.

Q5: What's the difference between this and adding probabilities?
A: Simple addition would double-count the probability of both events occurring. This formula correctly accounts for overlap.