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प्रश्न
The number of red balls in a bag is 10 more than the number of black balls. If the probability of drawing a red ball at random from this bag is `3/5`, then the total number of balls in the bag is ______.
पर्याय
50
60
80
40
MCQ
रिकाम्या जागा भरा
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उत्तर
The number of red balls in a bag is 10 more than the number of black balls. If the probability of drawing a red ball at random from this bag is `3/5`, then the total number of balls in the bag is 50.
Explanation:
Let black balls be x.
Red balls = x + 10
Total balls = x + x + 10
= 2x + 10
P(drawing a red ball) = `(x + 10)/(2x + 10)`
`3/5 = (x + 10)/(2x + 10)`
6x + 30 = 5x + 50
x = 20
∴ Black balls = 20
Red balls = 30
Total balls = 20 + 30 = 50
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