Question

A bag contains 6 red balls, 8 green balls and some blue balls. A ball is selected at random. If the probability of Blue ball is double that of the green ball, find the number of blue balls

Answer 1

Step-by-step explanation:

let the blue balls is x

so ATQ

probablity =favourable/total outcome.

geven probablity = 16

so

16= x/14 +x

16(14 + x) = x

224 + 16x = x

15x = -224

x = -1.433

Answer 2

Given,

Number of blue balls in the bag = 6

Number of green balls in the bag = 8

The probability of blue ball is double that of the green ball.

To Find,

The number of blue balls.

Solution,

Let the number of blue balls be x

So,

Probability of getting a green ball = 8/(6+8+x) = 8/(14+x)

Probability of getting a blue ball = x/(14+x)

So, according to the question

x/(14+x) = 2*8/(14+x)

x = 16

Hence, the number of blue balls is 16.