Question

A bag contains 5 red balls and some white balls. If the probability of drawing a white ball is double that of a red ball, find the number of white balls in the bag.

Answer 1

Answer:

Step-by-step explanation:

let the no of white ball be x

red balls = 5

total outcomes= 5+x

we know tht

probability of white balls=x/5+x

probability of red balls= 5/5+x

acc to que;

x/5+x= 2×( 5/5+x )

so

x=10

(5+x ) both are cancelled

so we conclude that no.of white balls is 10

hope it helps u

Answer 2

Bag contains: 5 Red Ball + some White Ball

Let, White Balls be x
Red balls be 5

Therefore, Total outcomes = 5 + x

So,

» Probability of White Ball = $\frac{x} {x + 5}$

» Probability of Red Balls = $\frac{5}{x + 5 }$

A. T. Q

Probability of White B. = 2×Probability of Red B.

$\dfrac{x} {5 + x}$ = 2 × $\dfrac{5}{5 + x}$

x = 2 × 5

x = 10

$\bf{\blue {\boxed{Hence, no.\: of\: White\: Balls\:are\:10}}}$

Hope it helps you!

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