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Percentages
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three identical looking umbrellas are sitting upright in an umbrella stand. Assuming the owners haven't labelled them, what percentage chance is there that only two people will take their own umbrelaa
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Assume People ABC and umbrellas ABC
If two people get the correct ones, then the third person will get whichever remains, which by definition must ALSO be correct if the other two are correct.
If person A gets Umbrella A
and person B gets Umbrella B
then only Umbrella C remains for person C to choose
This is also correct
Therefore it is impossible to only get TWO correct
Assume People ABC and umbrellas ABC
If two people get the correct ones, then the third person will get whichever remains, which by definition must ALSO be correct if the other two are correct.
If person A gets Umbrella A
and person B gets Umbrella B
then only Umbrella C remains for person C to choose
This is also correct
Therefore it is impossible to only get TWO correct