What's the winning number in this pick-a-number game?

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The discussion revolves around a game where participants must choose a number that is 80 percent of the average of all numbers selected by players, with valid choices ranging from 0 to 100. The target number is calculated by summing all players' choices, dividing by the number of players, and multiplying by 0.8, with results rounded to the nearest millionth. Players are encouraged to make their selections before viewing others' choices, and hidden text can be used to prevent accidental exposure of answers. Various participants share their guesses, with some opting for mathematical expressions and others providing numerical choices like 42 and 22.001, reflecting the strategic thinking involved in predicting the average based on potential player behavior. The game emphasizes the honor system, as there are no tangible rewards beyond recognition in the forum.
BobG
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Choose the number that is 80 percent of the average of all the numbers picked by players of this game.

The valid range of choices are all real numbers from 0 to 100.

The target number is determined by adding up all the choices of the players, dividing by the number of players, and multiplying by 0.800000 (all numbers are rounded to the nearest millionth).

Make your choice before looking at other people's choices. You're on the honor system here, plus the only thing you win is a nice smiley icon in the post announcing you as the winner so we're not talking irrestible temptation here.

You can put your answer in hidden text to lessen the chance of people inadvertantly seeing other people's answers before choosing. Currently, that color is not in the standard color list, so if you want to change the text to match the background color, use the code and don't forget to close the tag at the end using [/ color], except without the space between the slash and "color."
 
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Make your choices in hidden text (my choice doesn't count, since I'll do the tabulating).

My choice is pi/10000[/color]
 
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BobG said:
You can put your answer in hidden text to lessen the chance of people inadvertantly seeing other people's answers before choosing. Currently, that color is not in the standard color list, so if you want to change the text to match the background color, use the code and don't forget to close the tag at the end using [/ color], except without the space between the slash and "color."

According to firebug, it's actually #e3e3e3.

Code:
.alt1, .alt1Active { 
background:#E3E3E3 none repeat scroll 0 0;

like this[/color]
 
My pick:

\pi^2 \lim_{n\rightarrow \infty} \left\{ \sup_{a_{ij}\in\mathbb{R},\, \mathbf{x}_i,\mathbf{y}_j\in\mathbb{C}^n} \left\{ \left| \sum_{i=1}^n\sum_{j=1}^n a_{ij} \, \frac{\mathbf{x}_i \cdot\mathbf{y}_j}{\left| \mathbf{x}_i \right| \left| \mathbf{y}_j \right|} \right| \middle/ \sup_{s_i, t_j \in \mathbb{R}} \left| \sum_{i=1}^n\sum_{j=1}^n a_{ij} \, \frac{s_i \, t_j}{\left| s_i\right| \left| t_j\right|} \right| \right\} \right\}
 
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Okay, I'll give it a try, though the odds are against me going early without any idea how many responses might be factored into the average.

I'm going to guess:
The answer is 42.[/color]
 
if this is serious then

42[/color] :biggrin:
 
Moonbear said:
Okay, I'll give it a try, though the odds are against me going early without any idea how many responses might be factored into the average.

I'm going to guess:
The answer is 42.[/color]


do I smell something here?
 
Just to make it easy for people, here is a copy-and-pasteable color tag to enclose around your answer:

[noparse] [/color][/noparse]

And my pick: 22.001[/color]
 
Okay, my pick is

34 + e^sqrt(2)[/color]
 
  • #10
32

but entering just two digits gives too short a message, so I have to write something below
 
  • #11
39.9999...
 
  • #12
14.9[/color]
 
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