Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E∩F) = 0.2, then P(E|F) ?

Category: QuestionsGiven that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E∩F) = 0.2, then P(E|F) ?
Editor">Editor Staff asked 11 months ago

Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E∩F) = 0.2, then P(E|F) ?
 
(a) 2/3
 
(b) 1/3
 
(c) 3/4
 
(d) 1/4
 
This question was posed to me in an interview for job.
 
Question is taken from Conditional Probability topic in division 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

The correct option is (a) 2/3
 
The explanation is: We know that P(E|F) = P(E∩F) / P(F). (By formula for conditional probability)
 
Value of P(E∩F) is given to be 0.2 and value of P(F) is given to be 0.3.
 
P(E|F) = (0.2) / (0.3).
 
P(E|F) = 2 / 3.