SOLUTION: You and five friends go out to dinner. There are three different entree choices. You each pick a entree at random. What is the probability that you all pick the same entree?

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Question 443890: You and five friends go out to dinner. There are three different entree choices. You each pick a entree at random. What is the probability that you all pick the same entree?
excuse me is it 6/720 or 6/729 ?
please help and thank you
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
you pick an entree

friend #1 has a 1/3 chance (probability) of choosing the same

friend #2 has a 1/3 chance (probability) of choosing the same

etc. ___ see the picture?

for 5 friends (plus yourself) the probability of all entrees matching is ___ 1 / (3^5)