On the table before you are three small boxes, labeled A, B , and C. Inside each box is a colored plastic chip. One chip is red, one is white, and one is blue. You do not know which chip is in which box. Then, you are told that of the next three statements, exactly one is true:
- Box A contains the red chip
- Box B does not contain the red chip
- Box C does not contain the blue chip
Determine the color of the chip in each box.
Answer
Statement 3 is correct. Box A contains the blue chip, Box B the red chip, and Box C the white chip.
If statement 1 is correct, then statement 2 will also be correct (and vice versa), so statement 3 has to be correct.