The probability that a student passes Subject A, B or C is 98%. The probability that he or she passes A is 41%, B is 59%. The probability that he or she passes A and C is 25% and B and C is 20%. The probability that he or she passes all the 3 subjects is 14%. What is the probability that he or she passes subject C?
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Hi friend,
P(A∪B∪C)=0.98,P(A)=0.41,P(B)=0.59,P(A∩C)=0.25,P(B∩C)=0.2,P(A∩B∩C)=0.14 P(C)=?
Using addition theorem of probability
P(A∪B∪C)=P(A)+P(B)+P(C)-P(A∩B)-P(A∩C)-P(B∩C)+P(A∩B∩C)
0.98=0.41+0.59-0.25-0.20+0.14+P(C)
0.98+0.45-1.14=P(C)
P(C)=0.29
There fore probability that he passes in subject C is 29%.
P(A∪B∪C)=0.98,P(A)=0.41,P(B)=0.59,P(A∩C)=0.25,P(B∩C)=0.2,P(A∩B∩C)=0.14 P(C)=?
Using addition theorem of probability
P(A∪B∪C)=P(A)+P(B)+P(C)-P(A∩B)-P(A∩C)-P(B∩C)+P(A∩B∩C)
0.98=0.41+0.59-0.25-0.20+0.14+P(C)
0.98+0.45-1.14=P(C)
P(C)=0.29
There fore probability that he passes in subject C is 29%.
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