Question

A bag contains 5 red 5 blue if the probaility of drawing a blue ball is double that or a red ball find the number of blue balls in the bag.

Answer 1

Answer:

Step-by-step explanation:

Let the number of blue balls be x

Number of red balls = 5

x = 2 × 5

  = 10

Hence, the number of blue balls is 10.

Answer 2

$\rm\underline{Correct\ Question}$

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.

$\rm\underline{Given}$

Number of red balls => 5

Probability of drawing double of a blue ball =>Red balls

$\rm\underline{To\ Find}$

Number of blue balls in the bag.

$\rm\underline{Answer}$

Number of red ball => 5

Number of blue ball => $\bold{x}$

Total number of ball => $\bold{5+x}$

Probability of drawing a Red ball:-

$\implies \dfrac{Number\ of\ red\ balls }{Total\ balls}$

$\implies P(R)=\dfrac{5}{5+x}$

Probability of drawing a Red ball:-

$\implies \dfrac{Number\ of\ blue\ balls }{Total\ balls}$

$\implies P(B)=\dfrac{x}{5+x}$

According to the question:-

$\implies P(B)=2P(R)$

$\implies \dfrac{x}{5+x} =2 \bigg(\dfrac{x}{5+x} \bigg)$

${\boxed{\sf{x=10}}}}$

Therefore,

There are 10 number of blue balls in bag.

Hope it helps :)

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