If P(A) = 1/5, P(B) = 0, then what will be the value of P(A|B)?

Category: QuestionsIf P(A) = 1/5, P(B) = 0, then what will be the value of P(A|B)?
Editor">Editor Staff asked 11 months ago

If P(A) = 1/5, P(B) = 0, then what will be the value of P(A|B)?
 
(a) 0
 
(b) 1
 
(c) Not defined
 
(d) 1/5
 
I got this question in exam.
 
I want to ask this question from Conditional Probability in section Probability of Mathematics – Class 12
NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options 
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1 Answers
Editor">Editor Staff answered 11 months ago

Right answer is (c) Not defined
 
The best I can explain: We know that P(A|B) = P(A∩B) / P(B). (By formula for conditional probability)
 
The value of P(B) = 0 in the given question. As the value of denominator becomes 0, the value of P(A|B) becomes un-defined.