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The probability of selecting a red ball at random from a jar that contains only red,blue and white ball at random from the jar is 1/3 if the jar contains 10 white balls. find the total of the balls in the jar?
Most Upvoted Answer
The probability of selecting a red ball at random from a jar that cont...
Problem Analysis:
Let's assume the total number of balls in the jar is 'x'. Out of these 'x' balls, 10 are white balls. We need to find the value of 'x'.
Given Information:
- Probability of selecting a red ball at random from the jar = 1/3
- Number of white balls in the jar = 10
Deriving the Solution:
1. The probability of selecting a red ball at random from the jar can be calculated as follows:
- Probability of selecting a red ball = Number of red balls / Total number of balls
- Since the jar only contains red, blue, and white balls, the probability can be expressed as:
1/3 = Number of red balls / (x - 10)
- Solving this equation, we get: Number of red balls = (x - 10)/3
2. Since the total number of balls in the jar is 'x', the probability of selecting a blue ball can be calculated as:
- Probability of selecting a blue ball = Number of blue balls / Total number of balls
- Since the jar only contains red, blue, and white balls, the probability can be expressed as:
Number of blue balls / x
- We do not have any information about the probability of selecting a blue ball, so we cannot determine the number of blue balls.
3. The probability of selecting a white ball can be calculated as:
- Probability of selecting a white ball = Number of white balls / Total number of balls
- Given that the probability of selecting a white ball is 0, we have:
0 = 10 / x
- Solving this equation, we get: x = 10
Conclusion:
The total number of balls in the jar is 10.
Let's assume the total number of balls in the jar is 'x'. Out of these 'x' balls, 10 are white balls. We need to find the value of 'x'.
Given Information:
- Probability of selecting a red ball at random from the jar = 1/3
- Number of white balls in the jar = 10
Deriving the Solution:
1. The probability of selecting a red ball at random from the jar can be calculated as follows:
- Probability of selecting a red ball = Number of red balls / Total number of balls
- Since the jar only contains red, blue, and white balls, the probability can be expressed as:
1/3 = Number of red balls / (x - 10)
- Solving this equation, we get: Number of red balls = (x - 10)/3
2. Since the total number of balls in the jar is 'x', the probability of selecting a blue ball can be calculated as:
- Probability of selecting a blue ball = Number of blue balls / Total number of balls
- Since the jar only contains red, blue, and white balls, the probability can be expressed as:
Number of blue balls / x
- We do not have any information about the probability of selecting a blue ball, so we cannot determine the number of blue balls.
3. The probability of selecting a white ball can be calculated as:
- Probability of selecting a white ball = Number of white balls / Total number of balls
- Given that the probability of selecting a white ball is 0, we have:
0 = 10 / x
- Solving this equation, we get: x = 10
Conclusion:
The total number of balls in the jar is 10.
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The probability of selecting a red ball at random from a jar that cont...
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The probability of selecting a red ball at random from a jar that contains only red,blue and white ball at random from the jar is 1/3 if the jar contains 10 white balls. find the total of the balls in the jar?
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The probability of selecting a red ball at random from a jar that contains only red,blue and white ball at random from the jar is 1/3 if the jar contains 10 white balls. find the total of the balls in the jar? 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 The probability of selecting a red ball at random from a jar that contains only red,blue and white ball at random from the jar is 1/3 if the jar contains 10 white balls. find the total of the balls in the jar? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The probability of selecting a red ball at random from a jar that contains only red,blue and white ball at random from the jar is 1/3 if the jar contains 10 white balls. find the total of the balls in the jar?.
The probability of selecting a red ball at random from a jar that contains only red,blue and white ball at random from the jar is 1/3 if the jar contains 10 white balls. find the total of the balls in the jar? 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 The probability of selecting a red ball at random from a jar that contains only red,blue and white ball at random from the jar is 1/3 if the jar contains 10 white balls. find the total of the balls in the jar? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The probability of selecting a red ball at random from a jar that contains only red,blue and white ball at random from the jar is 1/3 if the jar contains 10 white balls. find the total of the balls in the jar?.
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