CalcDepo

Probability of Events Calculator

Compute probabilities of A and B, A or B, and conditional.

Inputs

Results

P(A and B), independent0.2
P(A or B)0.7
P(not A)0.6
P(A or B) mutually exclusive0.9

Chart

Not what you need? Search by intent

Describe what you want to find — “and or probability” — and jump to the right calculator.

How to use the probability of events calculator

Compute probabilities of A and B, A or B, and conditional. Enter p(a), p(b) in the fields above; the p(a and b), independent, p(a or b), p(not a), p(a or b) mutually exclusive are computed instantly and plotted on the chart so you can see how the answer changes.

Common searches this calculator answers include “and or probability”, “union”, “independent events”, “calculate probability of events”, “find p, independent”.

Formula

P(A and B), independent = pa × pb
P(A or B) = pa+pb-[P(A and B), independent]
P(not A) = 1-pa
P(A or B) mutually exclusive = pa+pb

Variables

  • pa — P(A)
  • pb — P(B)

Worked example

With p(a) = 0.4, p(b) = 0.5, the calculator gives p(a and b), independent ≈ 0.2; p(a or b) ≈ 0.7; p(not a) ≈ 0.6; p(a or b) mutually exclusive ≈ 0.9.

Frequently asked questions

What is the probability of events calculator used for?

Compute probabilities of A and B, A or B, and conditional. It helps with questions such as “and or probability”, “union”, “independent events”.

What is the formula for the probability of events calculation?

P(A and B), independent = pa × pb. P(A or B) = pa+pb-[P(A and B), independent]. P(not A) = 1-pa. P(A or B) mutually exclusive = pa+pb. Here pa is p(a), pb is p(b).

What inputs do I need for the probability of events calculator?

You need p(a), p(b). Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use the probability of events calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the probability of events result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

Related calculators

More in Statistics & Probability: Mean, Median and Mode · Standard Deviation · Quartiles and IQR · Percentile · Z-Score · Normal Distribution Probability · Inverse Normal · Binomial Probability