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Combinatorics

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Wizards vs Ogres

COMBIN-1SJYHV

Three wizards are suddenly confronted by three ogres. Simultaneously, each wizard randomly selects an ogre and casts a spell to incapacitate it.

What is the probability that all three ogres are incapacitated?

A

$1/27$

B

$2/27$

C

$1/9$

D

$2/9$

E

$1/3$

F

$2/3$