a bag contains 5 red and some Blue Balls if probability of drawing a blue ball from the back is twice that of a red ball find the number of blue balls in the bag
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Hey
Here is your answer,
let number of blue ball = x
Given
Probability (Blue ball)= 2 x Probability(Red ball)
(x/(5+x))=2(5/(x+5))
(X/(5+x)) = 10/x+5
10(5+x)=x(x+5)
50+10x=x^2+5x
50+10x -5x=x^2
50+5x=x^2
X^2 - 5x -50=0
Diving this equation,
x=10
Hope it helps you!
Here is your answer,
let number of blue ball = x
Given
Probability (Blue ball)= 2 x Probability(Red ball)
(x/(5+x))=2(5/(x+5))
(X/(5+x)) = 10/x+5
10(5+x)=x(x+5)
50+10x=x^2+5x
50+10x -5x=x^2
50+5x=x^2
X^2 - 5x -50=0
Diving this equation,
x=10
Hope it helps you!
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