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Heads or Tails

Introduction

I first wrote about Heads or Tails in 2005 when Playtech introduced a game based on the toss of a coin. Ten years later SOFTSWISS created another coin flipping game. Then, in 2019, I noticed another version by Evopolay. This page shall address all of them.

Playtech Version

 


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Playtech Rules

 

The player chooses heads or tails and then bets on 1, 2, or 3 flips.

Playtech Analysis

 

The following table shows the probability of winning and expected return for the three available bets.

Playtech -- Return Table

Bet Probability Pays Return
One flip 0.5 1.9 0.95
Two flips 0.25 3.8 0.95
Three flips 0.125 7.5 0.9375
 

SOFTSWISS/BGaming Version

 


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Rules

The player makes a bet and then predicts the flip of a coin — a Bitcoin to be specific. Wins pays 198 for 100.

Analysis

The following table shows the probability of winning and contribution to the return for both outcomes. Wins are expressed on a "for one" basis. The lower right cell shows a return of 99%. In other words, a house edge of 1%.

SOFTSWISS/BGamin -- Return Table

Event Probability Pays Return
Win 0.50 1.98 0.99
Loss 0.50 0.00 0.00
Total   1.00 0.99

Evoplay Version

Heads & Tails

Evoplay returns 1.96 for 1 on a win. It is easy to see this results in an expected return of 0.5 × 1.96 = 98%, or a 2% house edge.