# 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
Interview Questions and Answers, Database Interview Questions and Answers for Freshers and Experience

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