Waste less time on Facebook — follow Brilliant.
×

A Gambling Game

In a gambling game, there are n players, and \( n>1\). Every player is randomly assigned an integer between 1 and \(y\), where \(y\) is also an integer. Let \(l\) be the lowest number someone is assigned and let \(u\) be the highest number someone is assigned. The distribution of these integers is uniform. \(u\) will receive \((u-l)\) currency from \(l\). If there is more than one winner, or more than one person is assigned \(u\), \(l\) will pay out \( \dfrac{u-l}w\) to each winner, where \(w\) is the number of winners. If everyone rolls the same number, no gold is exchanged. If there is more than one loser, the losers pay equal portions to the winner(s).

What is the expected value for a person entering into this game? Would you recommend that someone enters into this game given his odds?

Note by Oli Hohman
1 year, 5 months ago

No vote yet
1 vote

  Easy Math Editor

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 \( 2 \times 3 \)
2^{34} \( 2^{34} \)
a_{i-1} \( a_{i-1} \)
\frac{2}{3} \( \frac{2}{3} \)
\sqrt{2} \( \sqrt{2} \)
\sum_{i=1}^3 \( \sum_{i=1}^3 \)
\sin \theta \( \sin \theta \)
\boxed{123} \( \boxed{123} \)

Comments

There are no comments in this discussion.

×

Problem Loading...

Note Loading...

Set Loading...