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Coin Toss
Introduction
Coin Toss is a simple game based on the toss of one or four coins. The game is made by KingMidas.
One Coin Rules
- The player may bet on Heads or Tails.
- After betting is closed, the game will pick one side to pay 1.2 to 1, if it wins. The other side will pay 0.7 to 1.
- A coin will be flipped and winning bets paid.
Four Coin Rules
The player may bet on any split between heads and tails as well as the 50/50 proposition on whether the total number of each side is an odd or even number. Here are the specific bets.
- The following types of bets are available:
- All Heads/All Tails
- 2 Heads & 2 Tails
- 3 Heads & 1 Tail/1 Heads & 3 Tails
- Odd/Even (Odd bets win if there is a 1-3 or 3-1 split between Heads and Tails, Even bets win if there is a 0-4, 2-2, or 4-0 split).
- The game will randomly decide to boost the pay of some bets. Standard and bonus pays are shown in the table below.
- After betting is closed, the game will flip four coins and pay winning bets.
Coin Toss Pays
| Bet | Standard Pay | Bonus Pay |
|---|---|---|
| Even, Odd | 0.95 | 1.1 |
| 3 Heads/1 Tail, 1 Head/3 Tails | 2.7 | 3.5 |
| 2 Heads/2 Tails | 1.5 | 1.9 |
| All Heads, All Tails | 13.5 | 20 |
A representative with KingMidas told me the the probability any given bet getting the bonus pay in the four-coin version is configurable. Following are the ranges given to me.
Coin Toss Bonus Pay Probabilities
| Bet | Minimum Probability |
Maximum Probability |
|---|---|---|
| Even,Odd | 0.035 | 0.04 |
| 3 Heads/1 Tail, 1 Head/3 Tails | 0.2 | 0.25 |
| 2 Heads/2 Tails | 0.2 | 0.24 |
| All Heads, All Tails | 0.12 | 0.17 |
If my rules were unclear, you may read them directly from the rule screen of the game.
Analysis
To analyze the game, I took the average of the minimum and maximum of the Bonus Pay probabilities. The following table shows the expected value of each bet.
Coin Toss Analysis
| Bet | Average Pay |
Probability | Expected Return |
|---|---|---|---|
| Even,Odd | 0.955625 | 0.5 | -0.022188 |
| 3 Heads/1 Tail, 1 Head/3 Tails | 2.880000 | 0.25 | -0.030000 |
| 2 Heads/2 Tails | 1.588000 | 0.375 | -0.029500 |
| All Heads, All Tails | 14.442500 | 0.0625 | -0.034844 |
Screen Shots
The image above is of the one-coin version.
The image above is of the four-coin version.
External Links
Play Coin Toss for fun at the KingMidas web site.