A bag contains 5 red balls and some blue

Asked by admin @ 10/08/2021 in Math viewed by 345 People

A bag contains 5 red balls and some blue balls if the probability of drawing blue ball is double that of red ball then find the number of blue balls in the bag

Answered by admin @ 10/08/2021

Solution :

Let there be x blue balls in the bag.

∴ Total number of balls in the bag = 5 + x

Now,

$p_{1}$ = Probability of drawning a blue ball = $\frac{x}{5 + x}$

$p_{2}$ = Probability of drawing a red ball = $\frac{5}{5 + x}$

But it is given that $P_{1}$ = $2p_{2}$

⇒ $\frac{x}{5 + x}$ = $2 \times \frac{5}{5 + x}$

⇒ x = 10

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