If E and F are two events associated with the same sample space of a random experiment then P (E|F) is given by _________(a) P(E∩F) / P(F), provided P(F) ≠ 0(b) P(E∩F) / P(F), provided P(F) = 0(c) P(E∩F) / P(F)(d) P(E∩F) / P(E)I got this question during an internship interview.This key question is from Conditional Probability in chapter Probability of Mathematics – Class 12

If E and F are two events associated with the same sample space of a r

1.	If E and F are two events associated with the same sample space of a random experiment then P (E\|F) is given by _________(a) P(E∩F) / P(F), provided P(F) ≠ 0(b) P(E∩F) / P(F), provided P(F) = 0(c) P(E∩F) / P(F)(d) P(E∩F) / P(E)I got this question during an internship interview.This key question is from Conditional Probability in chapter Probability of Mathematics – Class 12
Answer» RIGHT choice is (a) P(E∩F) / P(F), provided P(F) ≠ 0 To elaborate: E and F are two events associated with the same SAMPLE SPACE of a random experiment. The value of P (E\|F) = (E∩F) / P(F), provided P(F) ≠ 0. We know that if P(F) = 0, then the value of P(E\|F) will reach a value which is not defined HENCE it is WRONG option. Also, P(E∩F) / P(F) and P(E∩F) / P(E) are wrong and do not equate to P(E\|F).

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