suppose there are 100 guys...
and each of them pick any number between 0 and 100
once everybody has picked a number....you add all of the numbers and multiply that by 2/3
so...if everybody picked 100....the average would be 100 and after multiplying by 2/3, you get 66.67...
now, whoever's picked number is closest to the average multiplied by 2/3, wins the game and gets $100.....
what no I should I choose to maximize my chance of winning?

Question

anonymous · Answer

Just a stab in the dark, but if you multiplied each number by 2/3, and found the average of those. Wouldn't that be the best number to guess?

angela210793 · Answer

Idk....I've no idea at all :/

anonymous · Answer

Use Bayes' Theorem!

angela210793 · Answer

Bayes????????

anonymous · Answer

what is the most likely number that 100 guys would pick?

anonymous · Answer

1 ?

angela210793 · Answer

Not getting it..........

anonymous · Answer

good! so if 100 guys pick one, then the result would be 2/3!

anonymous · Answer

so if you picked 1, then you would be winning

angela210793 · Answer

come on....i don't think it is solved like this
guy1=59
guy2=31
.
.
.

.
.

.
.

.
.

.
.guy100=3
Wht now?

anonymous · Answer

alright, try having all guys pick different numbers: guy 1 pick 1, guy 2 pick 2... guy 100 pick 100

anonymous · Answer

find$$\sum_{i=1}^{100}i$$

anonymous · Answer

this is $$\frac{100*(100+1)}{2}=10100/2 = 5050$$

angela210793 · Answer

i did smth like 
|dw:1317896959755:dw|