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Venn Diagram and Probability Tutorial

A simple online tutorial to learn how to calculate the conditional probability of a venn diagram.
  

Consider the following sets
A={0.2,0.2,0.1,0.07}
B={0.05,0.05,0.01,0.03}
C={0.2,0.06}
In Venn diagram,the sets A,B,C are represented as
Calculation of P(A)
Probability of A is represented as P(A)
P(A) is calculated by adding all values of the set A.
P(A)=0.2+0.2+0.1+0.07=0.57
In venn diagram, P(A) is pictorially represented as
Calculation of P(B)
Probability of B is represented as P(B)
P(B) is calculated by adding all values of the set B.
P(B)=0.05+0.05+0.01+0.03=0.14
In venn diagram, P(B) is pictorially represented as
Calculation of P(AUB)
Probability of AUB is represented as P(AUB)
P(AUB)=P(A)+P(B)=0.57+0.14=0.71
In venn diagram, P(AUB) is pictorially represented as
Calculation of P(A∩B)
Probability of A∩B is represented as P(A∩B)
P(A∩B)=0.2+0.06=0.26
In venn diagram, P(A∩B) is pictorially represented as
Calculation of P(Ac)
Probability of Ac is represented as P(Ac)
P(Ac)=1-P(A)=1-0.57=0.43
In venn diagram, P(Ac) is pictorially represented as
Calculation of P(Bc)
Probability of Bc is represented as P(Bc)
P(Bc)=1-P(B)=1-0.14=0.86
In venn diagram, P(Bc) is pictorially represented as
Calculation of P(AUB)c
Probability of AUBc is represented as P(AUB)c
P(AUB)c=1-P(AUB)=1-0.71=0.29
Calculation of P(A∩B)c
Probability of A∩Bc is represented as P(A∩B)c
P(A∩B)c=1-P(A∩B)=1-0.26=0.74
In venn diagram, P(A∩B)c is pictorially represented as
Calculation of P(Ac∩Bc)c
Probability of (Ac∩Bc)c is represented as P(Ac∩Bc)c
P(Ac∩Bc)c=1-P(A)-P(B)+P(A∩B)=1-0.57-0.14+0.26=0.55



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