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A Bag Contains 15 White and Some Black Balls. If the Probability of Drawing a Black Ball from the Bag is Thrice that of Drawing a White Ball, Find the Number of Black Balls in the Bag. - Mathematics

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प्रश्न

A bag contains 15 white and some black balls. If the probability of drawing a black ball from the bag is thrice that of drawing a white ball, find the number of black balls in the bag.

उत्तर

Suppose number of black ball = x

It is given that White balls = 15

According to question,

P(Black balls) = 3 × P(White balls)

`=> x/(15+x) = 3 xx 15/(15 + x)`

`=> x = 45`

Hence, number of black ball are 45.

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