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
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.
This calculator has 3 inputs.
What 1 formula is used for the Venn Diagram (2 circles) Calculator?
What 4 concepts are covered in the Venn Diagram (2 circles) Calculator?
- intersection
- the set containing all elements of A that also belong to B or equivalently, all elements of B that also belong to A.
A ∩ B - probability
- the 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 Outcomes - venn diagram
- Diagram showing relations between different sets
- venn diagram (2 circles)
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