Venn Diagram (2 circles) Calculator

Venn Diagram (2 circles) Calculator MathCelebrity logo Image to Crop Venn Diagram

Calculate all items of the Venn Diagram above

A =
B =
C =

Calculate P(A):

P(A) = Only Items in the A circle (no sharing) = = 0

Calculate P(B):

P(B) = Only Items in the B circle (no sharing) = = 0

Calculate P(A U B):

P(A U B) = A + B

P(A U B) = 0 + 0 = 0

Calculate P(A ∩ B):

P(A ∩ B) = Only Items that A and B share = = 0

Calculate P(Ac):

P(Ac) = Everything outside the A circle

P(Ac) = 1 - P(A)

P(Ac) = 1 - 0

P(Ac) = 1

Calculate P(Bc):

P(Bc) = Everything outside the B circle

P(Bc) = 1 - P(B)

P(Bc) = 1 - 0

P(Bc) = 1

Calculate P(A U B)c:

P(A U B)c = Only Items outside of A ∩ B

P(A U B)c= 1 - P(A U B)

P(A U B)c = 1 - 0

P(A U B)c = 1

Calculate P(A ∩ B)c:

P(A ∩ B)c = Only Items outside of A ∩ B

P(A ∩ B)c= 1 - P(A ∩ B)

P(A ∩ B)c = 1 - 0

P(A ∩ B)c = 1

Calculate P(Ac ∩ Bc)

P(Ac ∩ Bc) = 1 - P(A) - P(B) + P(A ∩ B)

P(Ac ∩ Bc) = 1 - 0 - 0 + 0

P(Ac ∩ Bc) = 1 - 0

P(Ac ∩ Bc) = 1

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What is the Answer?

P(Ac ∩ Bc) = 1

How does the Venn Diagram (2 circles) Calculator work?

Free Venn Diagram (2 circles) Calculator - Given two circles A and B with an intersection piece of C, this will calculate all relevant probabilities of the Venn Diagram.
This calculator has 3 inputs.

What 1 formula is used for the Venn Diagram (2 circles) Calculator?

P(Ac ∩ Bc) = 1 - P(A) - P(B) + P(A ∩ B)

For more math formulas, check out our Formula Dossier

What 4 concepts are covered in the Venn Diagram (2 circles) Calculator?

intersectionthe set containing all elements of A that also belong to B or equivalently, all elements of B that also belong to A.
A ∩ Bprobabilitythe likelihood of an event happening. This value is always between 0 and 1.
P(Event Happening) = Number of Ways the Even Can Happen / Total Number of Outcomesvenn diagramDiagram showing relations between different setsvenn diagram (2 circles)

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