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

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