To the rescue!

Number Theory Level pending

Ironman has landed in the Mandarin's secret lair. The Mandarin and his 4 henchmen have gone down 5 different caves. You know that

  • Each cave has only one person.
  • All of them have the same size and type shoes, It is impossible to differentiate between them.
  • You have only one chance or the Mandarin will get away if it's not him.

What is the probability that cave number 1 is has the Mandarin?

5^{2} 1/5^{5} 1/5 \sqrt(5) \sqrt(1/5)

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1 solution

Nathan Moses
Apr 3, 2018

There is only one Mandarin and there are 5 caves ! 5 caves mean 5 different possibilities.

So if there is 1 Mandarin divided by 5 caves that means the answer is one fifth!

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