Given that E and F are events such that P(E) = 0.5, P(F) = 0.4 and P(E∩F) = 0.3, then what will be the value of P(F|E)?

Category: QuestionsGiven that E and F are events such that P(E) = 0.5, P(F) = 0.4 and P(E∩F) = 0.3, then what will be the value of P(F|E)?
Editor">Editor Staff asked 11 months ago

Given that E and F are events such that P(E) = 0.5, P(F) = 0.4 and P(E∩F) = 0.3, then what will be the value of P(F|E)?
 
(a) 2/5
 
(b) 3/5
 
(c) 3/4
 
(d) 2/4
 
This question was posed to me during an online exam.
 
I want to ask this question from Conditional Probability in chapter 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 choice is (b) 3/5
 
The explanation is: We know that P(F|E) = P(E∩F) / P(E). (By formula for conditional probability)
 
Value of P(E∩F) is given to be 0.3 and value of P(E) is given to be 0.5.
 
P(F|E) = (0.3) / (0.5).
 
P(F|E) = 3 / 5.