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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?
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A bag contains 15 white and some black balls if the probability of dra...
Analysis:
Given that the probability of drawing a black ball from the bag is thrice that of drawing a white ball, let's assume the number of white balls in the bag is x. Therefore, the number of black balls will be 3x.
Total number of balls:
The total number of balls in the bag is the sum of white and black balls, which is 15 + x + 3x = 4x + 15.
Probability calculation:
The probability of drawing a white ball is x / (4x + 15), and the probability of drawing a black ball is 3x / (4x + 15). According to the given condition, the probability of drawing a black ball is thrice that of drawing a white ball. Therefore, we can write the equation:
3x / (4x + 15) = 3
Solving this equation, we get:
3x = 12x + 45
-9x = 45
x = -5
Conclusion:
Since the number of white balls cannot be negative, there seems to be a mistake in the assumption or calculation. Please recheck the information provided.
Given that the probability of drawing a black ball from the bag is thrice that of drawing a white ball, let's assume the number of white balls in the bag is x. Therefore, the number of black balls will be 3x.
Total number of balls:
The total number of balls in the bag is the sum of white and black balls, which is 15 + x + 3x = 4x + 15.
Probability calculation:
The probability of drawing a white ball is x / (4x + 15), and the probability of drawing a black ball is 3x / (4x + 15). According to the given condition, the probability of drawing a black ball is thrice that of drawing a white ball. Therefore, we can write the equation:
3x / (4x + 15) = 3
Solving this equation, we get:
3x = 12x + 45
-9x = 45
x = -5
Conclusion:
Since the number of white balls cannot be negative, there seems to be a mistake in the assumption or calculation. Please recheck the information provided.
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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?
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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? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 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? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?.
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? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 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? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?.
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