Question

A bag contains 8 red balls and x blue balls. The ratio of the probability of getting a red ball against blue ball is 2:5. Find the number of blue balls.

Answer 1

Answer:

8:x=2:5 then we solve this question so x=20

This is the answer

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Answer 2

Given,

8 red balls and x balls are in a bag.

The ratio of  getting a red ball against a blue ball = 2:5

To Find,

Blue balls in the bag.

Solution,

Given that,

8 red and x balls are there.

Therefore,

The total count of balls in the bag =

8+x.

The ratio of the probability of red against blue =

2:5

$\frac{Number of red balls}{Number of blue balls}$ = $\frac{2}{5}$

$\frac{2}{5} = \frac{8}{x}$

Then find the value of x from this equation.

x = $\frac{8*5}{2}$

x = 40/ 2

x =20.

Another method,

2:5 means for every 2red balls 5 blue balls are drawn.

Therefore,

for every one ball 5/2 blue balls.

And every 8 red balls (5/2)*8 blue balls.

(5/2)*8 = 20

Hence the number of blue balls in a bag is 20.