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A bag contains 20 balls. 8 balls are green, 7 are white and 5 are red. What is the minimum number of balls that must be picked up from the bag blindfolded (without replacing any of it) to be assured of picking at least one ball of each colour?
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?A bag contains 20 balls. 8 balls are green, 7 are white and 5 are red...

Minimum Number of Balls to be Picked

To be assured of picking at least one ball of each color (green, white, red), we need to consider the worst-case scenario where we pick up balls of the same color repeatedly.

Determining the Minimum Number of Balls

- First, we ensure that we pick up all 5 red balls to guarantee we have at least one red ball.
- Next, we pick up all 7 white balls to ensure we have at least one white ball.
- Finally, we pick up the remaining 8 green balls.

Calculation

In the worst-case scenario, we need to pick up 5 red balls + 7 white balls + 8 green balls = 20 balls.

Conclusion

Therefore, the minimum number of balls that must be picked up from the bag blindfolded to be assured of picking at least one ball of each color is 20. This ensures that we have covered all possible combinations and have at least one ball of each color.
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?A bag contains 20 balls. 8 balls are green, 7 are white and 5 are red...
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?A bag contains 20 balls. 8 balls are green, 7 are white and 5 are red. What is the minimum number of balls that must be picked up from the bag blindfolded (without replacing any of it) to be assured of picking at least one ball of each colour?
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?A bag contains 20 balls. 8 balls are green, 7 are white and 5 are red. What is the minimum number of balls that must be picked up from the bag blindfolded (without replacing any of it) to be assured of picking at least one ball of each colour? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about ?A bag contains 20 balls. 8 balls are green, 7 are white and 5 are red. What is the minimum number of balls that must be picked up from the bag blindfolded (without replacing any of it) to be assured of picking at least one ball of each colour? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ?A bag contains 20 balls. 8 balls are green, 7 are white and 5 are red. What is the minimum number of balls that must be picked up from the bag blindfolded (without replacing any of it) to be assured of picking at least one ball of each colour?.
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