perplexus.info :: Probability : Heavily wounded

Heavily wounded (Posted on 2017-05-08)

In a group of soldiers,
if 70% have lost an eye,
75% an ear,
80% an arm,
85% a leg,

what percentage, at least, must have lost all four?

See The Solution Submitted by Ady TZIDON

Rating: 3.0000 (1 votes)

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War is hell (spoiler)

Comment 1 of 1

30% have not lost an eye

25% have not lost an ear

20% have not lost an arm

15% have not lost a leg

If there is no overlap between these 4 subsets, then 90% have one part that they have not lost.

That leaves 10% who must have lost all 4.

If there is any overlap, than over 10% have lost all 4.

The answer is 10%

Posted by Steve Herman on 2017-05-08 08:52:41

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