A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 3 years ago
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?
 3 years ago
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?

This Question is Closed

Yue27
 3 years ago
Best ResponseYou've already chosen the best response.0Just 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
 3 years ago
Best ResponseYou've already chosen the best response.1Idk....I've no idea at all :/

agdgdgdgwngo
 3 years ago
Best ResponseYou've already chosen the best response.3Use Bayes' Theorem!

agdgdgdgwngo
 3 years ago
Best ResponseYou've already chosen the best response.3what is the most likely number that 100 guys would pick?

angela210793
 3 years ago
Best ResponseYou've already chosen the best response.1Not getting it..........

agdgdgdgwngo
 3 years ago
Best ResponseYou've already chosen the best response.3good! so if 100 guys pick one, then the result would be 2/3!

agdgdgdgwngo
 3 years ago
Best ResponseYou've already chosen the best response.3so if you picked 1, then you would be winning

angela210793
 3 years ago
Best ResponseYou've already chosen the best response.1come on....i don't think it is solved like this guy1=59 guy2=31 . . . . . . . . . . .guy100=3 Wht now?

agdgdgdgwngo
 3 years ago
Best ResponseYou've already chosen the best response.3alright, try having all guys pick different numbers: guy 1 pick 1, guy 2 pick 2... guy 100 pick 100

agdgdgdgwngo
 3 years ago
Best ResponseYou've already chosen the best response.3find\[\sum_{i=1}^{100}i\]

agdgdgdgwngo
 3 years ago
Best ResponseYou've already chosen the best response.3this is \[\frac{100*(100+1)}{2}=10100/2 = 5050\]

angela210793
 3 years ago
Best ResponseYou've already chosen the best response.1i did smth like dw:1317896959755:dw

angela210793
 3 years ago
Best ResponseYou've already chosen the best response.1silly me whn i was finding the average i divided it by 2(God knows why i did tht) and i got 1683...O.o Thnx ^^

agdgdgdgwngo
 3 years ago
Best ResponseYou've already chosen the best response.3If you don't like that answer, set up a simulation. For every trial, make it create a list of 100 random integers. Sum those elements, divide by 100, and multiply that sum by 2./3. Repeat for about 100001000000 trials, adding the results of each trial together, and finding the average result.

angela210793
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1317897551125:dw

agdgdgdgwngo
 3 years ago
Best ResponseYou've already chosen the best response.3yep, I got the same 33.3 answer after 10000 trials
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.