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Limbus Company coin flip odds
Heads chance is 50% + SP. With multiple coins the effect compounds fast.
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The formula
Heads chance = 50% + SP, clamped to 5%–95%
SP runs from −45 to +45, so heads chance bottoms out at 5% and caps at 95%.
Multiple coins compound
This is where Sanity actually earns its keep. Three coins all landing heads:
- At 0 SP: 0.5³ = 12.5%
- At +20 SP: 0.7³ = 34.3%
- At +45 SP: 0.95³ = 85.7%
Going from 0 to +45 SP not even doubles the heads rate, but it multiplies the chance of three heads by almost seven.
Which is why losing SP hurts more than it looks
At −45 SP, three coins all landing tails is 85.7% likely. That is why panic is so punishing in practice — it does not degrade linearly, it collapses.