Question

A bag contains 5 red balls and some Blue Balls. If the probability of drawing a blue ball is thrice that the probability of red balls, find the number of blue balls in the bag.

Answer 1

Answer:

No. of red balls=5

Let no. of blue balls be x

Total balls=5+x

according to question,

x/5+x = 3 X 5/x+5

x=15

no. of blue balls=15

P(of blue ball)=15/20=3/4

Answer 2

Answer:

let the number of Blue Balls be = X

Total red balls = 5

otal red balls = 5 total probability = 5 + X

${}{ \small{ \underline{ \mathfrak{ \blue{(p_{1} \: probablity \: of \: getting \: blue \: balls}}}}}$

=

$\frac{possible \: outcome}{total \: outcomes}$

${}{ \huge{ \bold{ \mathfrak{ \green{ \frac{x}{5 + x}}}}}}$

${}{ \small{ \underline{ \mathfrak{ \red{(p_{2} \: probablity \: of \: getting \: red \: balls}}}}}$

${}{ \bold{ \huge{ \purple{\frac{possible \: outcome}{total \: outcome}}}}}$

A.T.Q::--

${}{ \huge{ \bold{ \mathfrak{ \green{(p_{1}) = 3(p_{2})}}}}}$

$\frac{x}{5 + x} =3 (\frac{5}{5 + x} )$

$\frac{x}{5 + x} = \frac{15}{5 + x }$

${}{ \small{ \bold{ \mathfrak{ \purple{so \: blue \: balls = 15 }}}}}$

${}{ \huge{ \bold{ \mathfrak{ \red{x = 15}}}}}$

${}{ \huge{ \underline{ \mathfrak{ \pink{hope \: it \: helps}}}}}$