Class 10 Mathematics - Chapter Probability NCERT Solutions | A bag contains 5 red balls and some blue

Welcome to the NCERT Solutions for Class 10th Mathematics - Chapter Probability. This page offers a step-by-step solution to the specific question from Excercise ".$ex_no." , Question 3: a bag contains 5 red balls and some blue balls if....
Question 3

A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, determine the number of blue balls in the bag.

Answer

Let the number of blue balls = x

Number of red balls = 5

Therefore, total no. Of balls = 5 + x

P(E) of drawing a blue ball = [x / (5 + x)] ...........(I)

P(E) of drawing a red ball = [5 / (5 + x)] 

Acc. to question,

P(E)B  = 2 P(E)R

[x / (5 + x)] = 2 [5 / (5 + x)]

x = 10

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