Math & Statistics
Law of Total Probability Calculator
Combine two mutually exclusive scenarios to find an overall probability.
Your inputs
Change any value to update the result instantly.
P(B)
0.46
P(A₂)
0.4
Formula and working
P(B) = P(B|A₁)P(A₁) + P(B|A₂)P(A₂)
- 1
Substitute your values
P(A₁) = 0.6; P(B|A₁) = 0.3; P(B|A₂) = 0.7
- 2
Apply the formula
P(B) = P(B|A₁)P(A₁) + P(B|A₂)P(A₂) = 0.46
Frequently asked questions
Important limitation
This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.
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