Question

Three labeled boxes containing red and white cricket balls are all mislabeled. It is known that one of the boxes contains only white balls and one only red balls. The third contains a mixture of red and white balls. You are required to correctly label the boxes with the labels red, white and red and white by picking a sample of one ball from only one box. What is the label on the box you should sample?

• A. White
• B. Red and White
• C. Red
• D. We need to take more than one sample to determine the same

Hint:

In problems involving mislabeled items, focus on eliminating possibilities by starting with the most directly observable outcome.

Answer 1

The Correct Option is B

Given that the boxes are mislabeled, one of the boxes is incorrectly marked as containing only white balls, one as containing only red balls, and the third as a mixture. If you select one ball from the box labeled "Red and White" and it turns out to be white (for example), then this box must contain only white balls because it is mislabeled. The other two boxes can then be correctly deduced.