Question

a bag contains of 24 balls of which some are red and rest are white the probability of drawing a red ball is 5 times that of drawing a white ball find the number of red balls and white balls in a bag
i you answer i will mark as brainlist answer​

Answer 1

Red balls-20 white ball-4

Answer 2

$Let \: number \: of \:white \:balls \: in \:a \\bag = x$

$number \: of \:red \:balls \: in \:a \\bag = (24-x)$

$Number \: of \: total \: possible \: outcomes \\= Number \: of \: balls \: in \: a \: bag = 24 \: --(1)$

$Probability \: of \: getting \: white \:ball = \frac{x}{24}$

$Probability \: of \: getting \: red\:ball = \frac{24-x}{24}$

/* According to the problem given */

$\frac{24-x}{24} = 5 \times \frac{x}{24}$

$\implies 24 - x = 5x$

$\implies 24 = 6x$

$\implies \frac{24}{6} = x$

$\implies x = 4$

Therefore.,

$\red{number \: of \:white \:balls \: in }\\\red{a \:bag }\green {= x = 4}$

$\red{number \: of \:red \:balls \: in}\\\red{ \:a \:bag}\green{ = (24-x) = 24 - 4 = 20 }$

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