A bag contains 5 white,7 black and 4 red ball | vedclass

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(D) Total number of balls $= 5 + 7 + 4 = 16$.Number of ways to draw $3$ balls from $16$ balls is given by $^{16}C_{3} = \frac{16 	imes 15 	imes 14}{

Vedclass · Accepted Answer

$\frac{1}{56}$

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(D) Total number of balls $= 5 + 7 + 4 = 16$.Number of ways to draw $3$ balls from $16$ balls is given by $^{16}C_{3} = \frac{16 	imes 15 	imes 14}{3 	imes 2 	imes 1} = 16 	imes 5 	imes 7 = 560$.Number of ways to draw $3$ white balls from $5$ white balls is given by $^{5}C_{3} = \frac{5 	imes 4 	imes 3}{3 	imes 2 	imes 1} = 10$.The probability that all three balls are white is $\frac{^{5}C_{3}}{^{16}C_{3}} = \frac{10}{560} = \frac{1}{56}$.

$A$ bag contains $5$ white,$7$ black and $4$ red balls. Three balls are drawn from the bag at random,then the probability that all the three balls are white,is

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