MisiPal

MisiPal - The Pro Gacha & Lottery Probability Calculator

MisiPal is an essential statistics tool designed for serious gamers. Stop relying on luck; use precise mathematical models to understand the true odds and expected value of every pull.

【Key Features】

1. Pro Probability Calculator Includes two specialized modes to precisely calculate your success rates:
* Single Target Mode: Calculates the cumulative probability of obtaining a specific prize "at least once" within a set number of attempts based on the drop rate.
* Collection Mode: Powered by the Poisson Binomial Distribution, this mode calculates the joint probability of acquiring all target items within a specific number of draws.

2. Decision Analysis Combines Behavioral Economics, Marginal Utility, and Geometric Distribution to optimize your Gacha strategy:
* Expected Cost: Estimates the resources needed based on your risk tolerance.
* Stop-Loss Advice: Provides data-driven "Continue" or "Stop" recommendations, helping you set a stop-loss point and manage your game resources rationally.

3. Luck Analysis & Verification
* Based on the Generalized Coupon Collector’s Problem:Compare your actual pulls required to complete a collection against the theoretical expected value.
* Smart Hybrid Engine: Automatically switches between Inclusion-Exclusion Principle and Monte Carlo Simulation for the fastest and most accurate result.
* Luck Tiering: Instantly grade your luck based on where your final pull count falls on the distribution curve.

4. My Statistics & Records
* Personal Gacha Database: Log every pull session, including total draws, prizes won, and quantities.
* Instant Analysis: Each record is instantly analyzed for session-specific luck and expected value.
* Pro Feature: Lift the 5-record limit.

【Pro Version Benefits (One-Time Purchase)】

Upgrade to the Pro version and instantly get:
* Unlimited Records: Remove the 5-record limit.
* Ad-Free Experience: Enjoy calculations without interruptions.

Disclaimer: All results provided by this App are for entertainment and reference only and do not constitute financial or gaming advice. Please gamble responsibly.