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P(B/A) is defined only when
  • a)
    A is a sure event
  • b)
    B is a sure event
  • c)
    A is not an impossible event
  • d)
    B is an impossible event
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
P(B/A) is defined only whena)A is a sure eventb)B is a sure eventc)A i...
Definition of P(B/A)
P(B/A) is the conditional probability of event B occurring given that event A has already occurred. It is denoted by P(B|A) and is given by the formula:

P(B|A) = P(A and B) / P(A)

where P(A and B) is the probability of both events A and B occurring together, and P(A) is the probability of event A occurring.

Conditions for P(B/A) to be defined
To calculate the conditional probability P(B/A), certain conditions need to be met. These conditions are as follows:

A is not an impossible event
Event A must have a non-zero probability of occurring. If event A has a probability of zero, then it cannot occur, and hence, the conditional probability P(B/A) is undefined.

B is not an impossible event
Event B must also have a non-zero probability of occurring. If event B has a probability of zero, then it cannot occur, and hence, the conditional probability P(B/A) is undefined.

A is a sure event
If event A is a sure event, i.e., it is certain to occur, then the conditional probability P(B/A) is defined for any event B, regardless of its probability of occurrence.

B is a sure event
If event B is a sure event, i.e., it is certain to occur, then the conditional probability P(B/A) is defined for any event A, regardless of its probability of occurrence.

Conclusion
Therefore, the correct answer is option C, i.e., P(B/A) is defined only when A is not an impossible event. This is because if event A has a probability of zero, then it cannot occur, and hence, the conditional probability P(B/A) is undefined.
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Community Answer
P(B/A) is defined only whena)A is a sure eventb)B is a sure eventc)A i...
P(B/A)=P(
A⋂B)/P(A) .  If A is impossible event , P(A)=0 Then P(B/A) will be undefined . so A should not be Impossible event. 
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P(B/A) is defined only whena)A is a sure eventb)B is a sure eventc)A is not an impossible eventd)B is an impossible eventCorrect answer is option 'C'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about P(B/A) is defined only whena)A is a sure eventb)B is a sure eventc)A is not an impossible eventd)B is an impossible eventCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P(B/A) is defined only whena)A is a sure eventb)B is a sure eventc)A is not an impossible eventd)B is an impossible eventCorrect answer is option 'C'. Can you explain this answer?.
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