Probability of 3 Events Calculator

Form

%
%
%

Results

All three occurring

0

At least one occurring

0

Exactly one occurring

0

None of them occurring

0

Table of Contents

1

What is Probability of 3 Events?

Combine three event probabilities under the selected independence assumptions.

2

How to Use This Calculator

  1. Enter or select P(A), P(B), P(C).
  2. Check the unit beside each measurement. For a percentage or rate, use the scale and time period stated in the form.
  3. Choose Calculate, then compare the output with the formula and example below. If you change a value or option, calculate again to update the result.
3

Formula Used

Independent intersection: P(A∩B∩C)=P(A)P(B)P(C)
4

Variables Explained

InputWhat it means
P(A)The chance of event A; use the form’s percentage or decimal convention.
P(B)The chance of event B on the same probability scale as the other inputs.
P(C)The chance of event C on the same probability scale as the other inputs.
5

Worked Example

With 0.5, 0.4 and 0.2, all three occur with probability 0.04.

6

Why Use This Calculator?

Compare all, none and selected combinations of three independent events.

7

Common Mistakes

    • Enter probabilities as percentages in the form, such as 50 for 50%. The combined-event calculations assume independence.
8

Frequently Asked Questions

Does a calculated statistic prove a conclusion?

A statistic describes the supplied data under stated assumptions. Sampling design, missing observations and the suitability of the model still determine what can reasonably be concluded.

Should I include every observation?

Use the observations required by your study design and state any exclusion rule. Removing values only because they change the answer can bias the analysis.

9

Sources & References

Mini Calculator provides online calculators for multiple niches including mathematical, financial, Health, informative, Chemistry, physics, statistics, and conversions. You can use any calculator for free without any limits.