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# Scrambled Box Tops

Imagine that you have three boxes , one containing two black marbles , one containg two white marbles , and the third , one black marble and one white marble . The boxes were labeled for their contents – BB , WW and BW – but someone has switched the labels so that every box is now incorrectly labeled . You are allowed to take one marble at a time out of any box, without looking inside , and by this process of sampling you are to determine the contents of all three boxes . What is the smallest number of drawings needed to do this ?

### See our previous ‘Puzzles of the Day’:

Puzzle of the Day : 1

1. 3

1. 4

2. 2

3. 3

4. 1
As every box is incorrectly labeled
First take out the ball from the bag labeled BW. If The ball comes out to be black, it implies that there are 2 black balls in that bag.
And then the bag labeled WW can have either BW or WW but as all are incorrectly labeled, it implies it has BW
And the third bag contains 2 WW balls

5. 1 pick

6. 1

7. 1 way

8. 3

9. 3

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