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A bag contains 50 balls of which 2x are red, 3x are white and 5x are blue. A ball is selected at random. The probability that it is not white is
- a)2/3
- b)3/5
- c)7/10
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A bag contains 50 balls of which 2x are red, 3x are white and 5x are b...
Here
2x + 3x + 5x = 50 = ⇒ 10x = 50 ⇒ x = 5
Number of red balls = 2 x 5 = 10
Number of white balls = 3 x 5 = 15
Number of blue balls = 5 x 5 = 25
Now, Number of possible outcomes = 25 + 10 = 35
And Number of total outcomes = 50
∴ Required Probability = 35/50 = 7/10
2x + 3x + 5x = 50 = ⇒ 10x = 50 ⇒ x = 5
Number of red balls = 2 x 5 = 10
Number of white balls = 3 x 5 = 15
Number of blue balls = 5 x 5 = 25
Now, Number of possible outcomes = 25 + 10 = 35
And Number of total outcomes = 50
∴ Required Probability = 35/50 = 7/10
Most Upvoted Answer
A bag contains 50 balls of which 2x are red, 3x are white and 5x are b...
Given information:
- Total number of balls = 50
- Number of red balls = 2x
- Number of white balls = 3x
- Number of blue balls = 5x
To find: Probability of selecting a ball that is not white
Solution:
Total number of balls = 50
Number of white balls = 3x
Therefore, x = Number of white balls / 3
Number of red balls = 2x = 2(Number of white balls / 3) = 2/3(Number of white balls)
Number of blue balls = 5x = 5(Number of white balls / 3) = 5/3(Number of white balls)
Therefore, the total number of balls can be expressed in terms of the number of white balls as:
Total number of balls = Number of white balls + 2/3(Number of white balls) + 5/3(Number of white balls)
Total number of balls = 6/3(Number of white balls) + 2/3(Number of white balls) + 5/3(Number of white balls)
Total number of balls = 13/3(Number of white balls)
Number of white balls = 3/13(Total number of balls)
Number of non-white balls = Total number of balls - Number of white balls
Number of non-white balls = Total number of balls - 3/13(Total number of balls)
Number of non-white balls = 10/13(Total number of balls)
Therefore, the probability of selecting a ball that is not white is:
Probability = Number of non-white balls / Total number of balls
Probability = (10/13(Total number of balls)) / Total number of balls
Probability = 10/13
Hence, the correct option is (c) 7/10.
- Total number of balls = 50
- Number of red balls = 2x
- Number of white balls = 3x
- Number of blue balls = 5x
To find: Probability of selecting a ball that is not white
Solution:
Total number of balls = 50
Number of white balls = 3x
Therefore, x = Number of white balls / 3
Number of red balls = 2x = 2(Number of white balls / 3) = 2/3(Number of white balls)
Number of blue balls = 5x = 5(Number of white balls / 3) = 5/3(Number of white balls)
Therefore, the total number of balls can be expressed in terms of the number of white balls as:
Total number of balls = Number of white balls + 2/3(Number of white balls) + 5/3(Number of white balls)
Total number of balls = 6/3(Number of white balls) + 2/3(Number of white balls) + 5/3(Number of white balls)
Total number of balls = 13/3(Number of white balls)
Number of white balls = 3/13(Total number of balls)
Number of non-white balls = Total number of balls - Number of white balls
Number of non-white balls = Total number of balls - 3/13(Total number of balls)
Number of non-white balls = 10/13(Total number of balls)
Therefore, the probability of selecting a ball that is not white is:
Probability = Number of non-white balls / Total number of balls
Probability = (10/13(Total number of balls)) / Total number of balls
Probability = 10/13
Hence, the correct option is (c) 7/10.
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A bag contains 50 balls of which 2x are red, 3x are white and 5x are blue. A ball is selected at random. The probability that it is not white isa)2/3b)3/5c)7/10d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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