LuckUp doesn't simply count how many answers you got right. Instead, it asks: "How difficult was it to achieve this result?"
A good result in a more difficult game is naturally worth more.
Two players got these results:
| ๐ช Coin | ๐ก Roulette | ๐ฒ Dice | |
|---|---|---|---|
| Player A | 6 | 5 | 2 |
| Player B | 7 | 4 | 2 |
Many people expect 6, 5, 2 to rank higher, because getting 5/10 in Roulette seems harder than getting 7/10 in Coin Toss. Let's see how LuckUp compares them.
For each game, LuckUp calculates: "What's the chance of getting this score or an even better one?" Smaller percentages mean the result is harder to achieve.
| Game | 6, 5, 2 | 7, 4, 2 |
|---|---|---|
| ๐ช Coin | 37.70% | 17.19% |
| ๐ก Roulette | 21.31% | 44.07% |
| ๐ฒ Dice | 51.55% | 51.55% |
LuckUp multiplies the three probabilities together.
6, 5, 2
7, 4, 2
The smaller the final value, the rarer the result. Since 0.039049 < 0.041414, 7, 4, 2 is considered slightly luckier.
7, 4, 2 โ luckier 6, 5, 2
Although Roulette is harder than Coin Toss, 7/10 in Coin Toss is significantly rarer than 6/10 โ enough to outweigh the advantage of 5/10 vs 4/10 in Roulette. LuckUp evaluates all three games together, rather than looking at only one game.
To ensure fairness, LuckUp doesn't use simulations or random sampling. It evaluates every possible outcome:
11 Coin results ร 11 Roulette results ร 11 Dice results
Every combination is evaluated exactly using the same method, ensuring consistent and fair rankings for everyone.