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Direction: There are three boxes P, Q and R which consists of Red, Blue and Green colour balls. Total number of blue balls in all three boxes together is 9 and total number of balls in all the boxes together is 32.
In Box P: The probability of choosing a Blue ball is 1/4 and the number of red balls is 2 more than the number of blue balls.
In Box Q: Total number of balls is 10 and the ratio of probability of getting a Blue and a Red ball is 2 : 3. Also the sum of Blue and Green balls is 4 more than the number of red balls.
In Box R: Total number of balls is 10 and the probability of getting a red is 1/5 less than the probability of getting a blue.
What is the difference of probability of drawing a green ball from box Q and the probability of drawing a blue ball from box R?
0.2
0.5
0.4
0.1
0.3
- Box P:
- Probability of blue ball = 1/4 implies number of blue balls = 1/4 of total balls.
- Let blue balls = x, total balls = 4x, then red balls = x + 2.
- Equating total: 4x - (x + x + 2) = green balls.
- Box Q:
- Total balls = 10.
- Blue : Red probability ratio 2:3 = blue balls are 2/5 of total, red are 3/5.
- Blue+Green = 4 + red balls. Solving gives red and blue ball counts.
- Box R:
- Probability of red = 1/5 less than blue, find values respectively.
- Task: Difference of green ball probability from Q and blue ball probability from R.
- Option 4: 0.1 is correct.
- Probability (green from Q) - Probability (blue from R) = 0.4 - 0.3 = 0.1.
- Correct Answer:
- Option 4: 0.1
By: Parvesh Mehta ProfileResourcesReport error
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