All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Guessing Game (Posted on 2014-05-16)
We decide to play the following game: An integer N will be randomly selected from the interval 0 - 100, inclusive. You try to guess N. After each guess, I tell you whether N is higher or lower than your guess.

If you successfully guess the integer, you win N dollars. Each guess costs you K dollars.

For each of the variants (a) and (b) below, what is the maximum value of K for which you'd be willing to play this game? Which strategy would you use to try to maximize your winnings in the long run?

(a) Once you start a round, you must continue until you guess N exactly.

(b) You may stop playing a round if you determine that N is too small to keep paying more money to guess N exactly. The money you've already spent on guesses is lost, but you may then start a new round with a new N.

 No Solution Yet Submitted by tomarken Rating: 5.0000 (1 votes)

 Subject Author Date re(5): Additional thoughts Steve Herman 2014-05-21 16:43:31 re(4): Additional thoughts tomarken 2014-05-21 12:52:15 re(3): Additional thoughts Steve Herman 2014-05-21 02:16:23 re(2): Additional thoughts tomarken 2014-05-20 09:50:53 re: Additional thoughts Brian Smith 2014-05-19 07:34:34 Additional thoughts Steve Herman 2014-05-18 14:19:56 rational play for the highest integral K allowing play in part b Charlie 2014-05-18 13:16:04 Repaired VB program agrees with Steve's answer to part b Charlie 2014-05-18 12:06:44 re(3): different part b solution (VB program) Charlie 2014-05-18 01:13:25 re(2): different part b solution (VB program) Steve Herman 2014-05-17 17:08:23 re: different part b solution (VB program) Charlie 2014-05-17 16:43:29 different part b solution (VB program) Charlie 2014-05-17 16:15:35 Part b solution (spoiler) Steve Herman 2014-05-17 15:23:09 Part b strategy and methodology (a start) Steve Herman 2014-05-17 14:30:21 re: Part a (pencil and paper spoiler) Ady TZIDON 2014-05-17 03:39:07 Part a (pencil and paper spoiler) Steve Herman 2014-05-17 02:32:55 part a solution Charlie 2014-05-17 01:35:39 Ideas for part (a) Jer 2014-05-16 16:04:57

 Search: Search body:
Forums (0)