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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.
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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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