RNG Heroes Upgrade and Luck Scenario

Enter your own values to compare scenarios; the calculation runs only in this browser.

Build an upgrade-tree scenario

This tool starts with a wallet question: how much Gold can you actually spend, and which buy pays back fastest at your current measured income? It then layers a Luck threshold scenario for a 50-roll session. It does not contain an official Luck-to-drop-rate table, official upgrade coefficients, or hidden game constants.

Use the current game UI or a controlled before-and-after observation for every field. The illustrative starting values exist only to make the interface operable.

Calculation outline

For each hexagonal node, the effective cost at the current level is:

effectiveCost = floor(baseCost * costMultiplier^level)

The default costMultiplier is 1.5, matching the community-observed late-prestige ladder; raise or lower it against your own measured per-level price before trusting the rank.

The marginal Gold/hour uplift per node is a player-entered coefficient. The tool uses:

paybackHours = effectiveCost / marginalGoldPerHour_uplift

Decision gates:

• BUY when paybackHours <= 4 AND effectiveCost <= 0.5 * goldBalance.
• HOLD when paybackHours in [4, 12] or the cost is between 50% and 100% of the wallet.
• SKIP when paybackHours > 12, the cost exceeds the wallet, the node is locked by an un-bought branch, or the cap is reached.

Reading the rank

The rank is sorted by paybackHours ascending. The four Loot and Zone nodes (Loot branch unlock, Dark Forest, The Beach) tend to surface first when the wallet is large; the Player branch nodes (Luck, Hero Slots, Stronger Heroes, 4 Enemies) tend to surface first when the wallet is small. The free Heroplay Studios Roblox group bonus (+10% Gold and +1 Luck) is the single most leveraged free action and the tool surfaces it as a warning when it is unclaimed.

The Luck threshold scenario is a 24-step bisection over the conservative and bullish prior weightings. It returns a low / high range that brackets the Luck scalar above which a 50-roll session raises the rare-or-better hit rate by 2 percentage points. Treat the range as a planning input, not a game constant.

Gamepass and group bonus inputs

The Lucky, ULTRA Lucky, and VIP gamepasses all add to the Luck_Total scalar and the VIP pass adds +10% Gold. The free group bonus adds +10% Gold and +1 Luck on the account. The tool accepts all four as booleans and folds them into the effective GoldPerHour and the Luck scalar automatically.

Limits and confidence

• Costs, cost multiplier, marginal uplift coefficients, reserve ratio, and the Luck threshold priors are all editable scenario inputs.
• Zero goldPerHour produces a zero uplift, which means the rank will read “payback: infinity” for every node. Re-measure a current cycle before trusting the rank.
• The tool does not model per-hero Power differences, Golden enemy mutation luck, or temporary potion boosts unless you fold them into the marginal uplift.
• Re-run the scenario after every named update; the UPD 4.2 build is the current reference but a future patch can shift node costs and node effects.

Version: upgrade-luck-scenario-2026-08-02. Continue with the upgrade and luck priority guide for the evidence behind the inputs, and the Prestige and Zone ROI Scenario tool for the post-Prestige re-evaluation.