Multipliers

🎰 Base Multipliers (Per Round)

The base multiplier for each choice is determined by the RTP (Return to Player) and probability of that choice.

⚠️ Important: 10% of letters have special properties that can instantly win or lose, bypassing normal multiplier calculations!

Formula: BaseMultiplier = RTP / Probability

Choice Probabilities

• Stay with original choice: Monty Hall probability (lower)

• Switch to alternative choice: Monty Hall probability (higher)

RTP Values

• MAX RTP: 96% (95% if XP selected as bonus reward)

• MIN RTP: 75-80%

Example Base Multiplier Calculations:

Each round randomly assigns High RTP (96%) or Low RTP (75-80%) to either Stay or Switch choice:

High RTP Choice:

• BaseMultiplier = 96% ÷ 33.33% = 2.88x (Stay)

• BaseMultiplier = 96% ÷ 66.67% = 1.44x (Switch)

Low RTP Choice:

• BaseMultiplier = 75% ÷ 33.33% = 2.25x (Stay)

• BaseMultiplier = 75% ÷ 66.67% = 1.125x (Switch)

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🚀 Cumulative Multiplier System

For each step climbed, we multiply the base multiplier of that step with ALL previous step multipliers.

Formula: CumulativeMultiplier = Step1Multiplier × Step2Multiplier × ... × CurrentStepMultiplier

Example — Cumulative multiplier after 3 successful steps:

CumMultStep3 = StayMultiplier₁ × SwitchMultiplier₂ × StayMultiplier₃

If player:

• Step 1: Stayed (2.88x)

• Step 2: Switched (1.44x)

• Step 3: Stayed (2.88x)

CumMultStep3 = 2.88 × 1.44 × 2.88 = 11.94x

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🪜 Corporate Ladder (7 Rounds)

(Display values for UI - actual multipliers are dynamically calculated)

Step	Max Multiplier
1	2.88x
2	8.29x
3	23.88x
4	69x (nice)
5	198x
6	570x
7	1,643x

Actual multipliers are calculated at the start of the game based on provably fair random assignment of RTP values to each choice at each step.