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You have 3 jars. Each jar has a label on it: white, black,
or white&black. You have 3 sets of marbles: white, black,
and white&black. One set is stored in one jar. The labels
on the jars are guaranteed to be incorrect (i.e. white will
not contain white). Which jar would you choose from to give
you the best chances of identifying the which set of
marbles in is in which jar?
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Answer Posted / loz
The answer is the black and white jar.
The three jars do not have 3 different colors in. Lets say
Jar 1 has 100 white marbles. Jar 2 has 100 black marbles.
Jar 3 has 50 white marbles and 50 black marbles in. You
can say, confusingly, that Jar 3 has 100 black & white
marbles in.
The '&' causes the confusion and makes you think it's a
multi-colored marble. Once you realise it's not the answer
is simple.
Only two possible arrangements are possible.
Jar Arrangements: B W B&W
Arrangement #1 w b&w b
Arrangement #2 b&w b w
If you pick from the jar labelled B you might pick out a
white marble and either arrangement can be true. If you
pick from the jar labelled W you might pick out a black
marble and again either arrangement can be true.
Only the jar labelled B&W can give you a definitive answer.
| Is This Answer Correct ? | 10 Yes | 2 No |
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