A bag contains 3 red, 2 white and 4 green balls. What is the probability of drawing the second ball to be green if the first ball drawn is red? The balls are replaced in the bag.

Category: QuestionsA bag contains 3 red, 2 white and 4 green balls. What is the probability of drawing the second ball to be green if the first ball drawn is red? The balls are replaced in the bag.
Editor">Editor Staff asked 11 months ago

A bag contains 3 red, 2 white and 4 green balls. What is the probability of drawing the second ball to be green if the first ball drawn is red? The balls are replaced in the bag.
 
(a) \frac {3}{9}
 
 
(b) \frac {4}{27}
 
 
(c) \frac {4}{3}
 
 
(d) \frac {4}{17}
 
 
The question was asked in semester exam.
 
The doubt is from 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

Right option is (b)
4
27
 
 
The best explanation: Total number of balls = 9
 
The probability of the first ball to be red =
3
9
 
 
The probability of the second ball to be green with replacement =
4
9
 
 
Total probability =
3
9
×
4
9
=
4
27