A bag contains 3 red, 2 white and 4 green balls. What is the probability of drawing the second ball to be white if the first ball drawn is white? 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 white if the first ball drawn is white? 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 white if the first ball drawn is white? The balls are replaced in the bag.
 
(a) \frac {1}{9}
 
 
(b) \frac {2}{9}
 
 
(c) \frac {1}{8}
 
 
(d) \frac {2}{8}
 
 
The question was posed to me during an internship interview.
 
The doubt is from Multiplication Theorem on Probability topic in portion 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 (c)
1
8
 
 
Easiest explanation: Total number of balls = 9
 
The probability of the first ball to be white =
2
9
 
 
The probability of drawing white ball again for the second time without replacement =
1
8