Skill vs Chance in Arcade and Casino-Style Games

Some games reward skill and some only look as though they do. In Cashout Arcade the line is clear: Blackjack, Poker (Jacks or Better), Balloon Pop and Shell Game are decided partly by your choices, and most other games draw their result on the server before any animation plays, so nothing you tap changes it. The difference matters because it decides whether practice can improve your return, and because a game that dresses chance up as skill can be misleading. This guide separates the two, with the maths for each.

Real arcade versus virtual

A physical claw machine feels like a skill game: you position the claw, press a button, and watch it grab. In many machines the outcome is more settings than skill. A 2015 investigation by Vox Media, reported by ABC7 New York, found claw machine software with adjustable settings for how strong the claw grips and how long it holds maximum strength, and said owners can set the claw to drop the prize a set number of times before a player can win it. It also quoted a BMI Gaming manual describing how an operator can input the coin value, the average value of the merchandise and the profit level, and let the machine manage the payout from there. The industry trade publication, Vending Times, said the industry self-regulates under laws it called unclear in most states.

That does not mean every machine is unfair, but it does mean that how a real machine behaves is up to its owner, and you cannot tell by looking. A virtual machine is different in a different way. It has no physical claw, so the question becomes who decides the result and whether the odds are published.

In Cashout Arcade's Claw Machine the server draws the outcome when you start the round. You choose a prize size; that choice sets the odds, not your aim:

These are the game's published numbers (the Giant row returns slightly less than the other two). A bigger prize is a rarer one, in the same way a bigger Mines multiplier is a rarer one. How well you time the animation has no bearing on the draw. This is what the RNG guide means when it says the animation is a playback.

Shell Game: skill with a house edge

Shell Game is the clearest skill game in the app, and the Odds page explains it as one. The server shows you the ball, decides every swap of the shuffle (14 swaps with 3 cups, 16 with 4, 18 with 5), and the swaps speed up from 420 ms to 150 ms. You tap the cup you followed, and the server checks your tap against where the ball really ended up.

The pay is fixed: 2.7x with 3 cups, 3.6x with 4, 4.5x with 5. That makes the return a simple function of how often you are right:

(Return is accuracy times the pay. To match the 97% of other games with 3 cups, you need to be right 0.97 / 2.7 = 35.9% of the time, only 2.6 points better than guessing.)

So a modest amount of real tracking moves you from a 10% edge to the 3% of the rest of the app, and a lot of tracking would move you ahead. The game is designed to make that difficult: the swaps are long and fast, and we do not publish a typical success rate, because it would depend entirely on the player. What the table does show is that the skill is real and the house edge is real, and that guessing is the worst way to play.

The games where skill matters

Balloon Pop is the one where skill is easiest to see. It is a collect game: popped balloons add ticket values to a pot, a dud loses the pot, and the counts of tickets left on the board are public, so you can always work out the chance that the next pop is a dud. The game shows an on-screen hint with that expected value, and stopping at the right moments is worth the difference between 27.7% and about 97%.

In each of these, the info screen (i) carries a note that the stated return assumes the best play, and says what simpler play returns. That note is the clearest sign in the app that a game rewards skill.

The games where the animation is decoration

Most of the app's games are not skill games, even when they look like one:

• Crash, Mines, Tower and Road Hop. The crash point or the traps are drawn at the start. Your only decision is when to cash out, which changes how results are spread but not the average. The Crash guide and Mines guide show the maths.
• High Striker. The hammer swing looks like a strength test, but the height the puck reaches comes from a fixed table of weighted marks. How you swing does not matter.
• Ring Toss, Roll Ball and Ball Drop. The ring or ball lands where the draw decided. The Ball Drop guide has the bucket odds.
• Light Stack. It looks like a timing game, but the server draws every row, so when you press stop does not change the result. The game says so on screen.
• Slots, Keno, Wheel and Scratch. Pure draws.

For all of these, "practice" means getting used to the interface, not improving your odds. That is not a flaw; it is how most casino games work. The flaw would be a game that implied otherwise.

How to tell which is which

Four questions sort almost any game:

1. Does anything you do change the probabilities? A choice only counts if it changes the average return. Choosing a mine count changes the shape of the results, not the 97%.
2. Is the result decided before the animation? If the animation is a playback of a result drawn first, its details cannot matter.
3. Does the game tell you? In Cashout Arcade, the games where decisions matter say so on their info screens and on the Odds page.
4. Can you get better with practice? If a reasonable amount of practice improves your measured return, the game has skill. If your results after a thousand rounds look the same however you play, it does not.

The same questions apply to any arcade-style app. A game that advertises "skill" but never says what its return is, or that you cannot test, deserves the caution described in are casino games rigged?.