โ† LuckUp

๐Ÿ€ How is my luck calculated?

LuckUp doesn't simply count how many answers you got right. Instead, it asks: "How difficult was it to achieve this result?"

Games have different success rates

A good result in a more difficult game is naturally worth more.

Example

Two players got these results:

๐Ÿช™ Coin๐ŸŽก Roulette๐ŸŽฒ Dice
Player A652
Player B742

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.

1Calculate each game's rarity

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.

Game6, 5, 27, 4, 2
๐Ÿช™ Coin37.70%17.19%
๐ŸŽก Roulette21.31%44.07%
๐ŸŽฒ Dice51.55%51.55%

2Combine the three rarities

LuckUp multiplies the three probabilities together.

6, 5, 2

37.70% ร— 21.31% ร— 51.55% = 0.041414

7, 4, 2

17.19% ร— 44.07% ร— 51.55% = 0.039049

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

Why?

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.

Accurate and fair

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

11 ร— 11 ร— 11 = 1,331 possible score combinations

Every combination is evaluated exactly using the same method, ensuring consistent and fair rankings for everyone.

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