# Gacha Epitomized Path Calculator AI Agent Connect

> Calculate exact pull probabilities and resource costs for weapon banners.

## Overview
- **Category:** utilities
- **Price:** Free
- **Endpoint:** https://edge.vinkius.com/vk_preview_ne67JGl0Uir0BBumZya2PiluCutYCMYKONwAus99/ai-agent-connect
- **Tags:** gacha, pity, probability, resource-planning, gaming-tools

## Description

This MCP server provides deterministic calculations for weapon banner mechanics. Use `calculate_probability` to find the chance of a target weapon appearing on the next 5-star pull, `calculate_expected_investment` to estimate the remaining pulls and primogem costs, and `validate_banner_state` to verify if your current pity and fate points are valid. It helps players plan their resource spending for specific target weapons.

## Tools

### calculate_expected_investment
Calculates the estimated number of pulls and the total currency needed to guarantee the target weapon

### calculate_probability
Determines the likelihood of the user's target weapon appearing on their very next 5-star pull

### validate_banner_state
Confirms if the provided user data represents a valid and possible state within the system rules

## Prompt Examples

**Prompt:** 
```
I have 50 pity pulls and 0 fate points. How many primogems do I need to guarantee my weapon?
```

**Response:** 
```
You will need 6400 primogems to guarantee your target weapon.
```

**Prompt:** 
```
What is my probability of getting the weapon if I have 1 fate point?
```

**Response:** 
```
Your probability of getting the target weapon on the next 5-star pull is 0.75.
```

**Prompt:** 
```
Is it possible to have 95 pity pulls?
```

**Response:** 
```
No, the maximum hard pity threshold is 90 pulls.
```

## Frequently Asked Questions

**How do I know if my state is valid?**
You can use the `validate_banner_state` tool to check if your current pity pulls (0-90) and fate points (0-2) are logically possible.

**How much will it cost to get my target weapon?**
Use the `calculate_expected_investment` tool. It calculates the expected remaining pulls and multiplies them by 160 to give you the total primogem cost.

**What is my chance of success on the next 5-star?**
The `calculate_probability` tool will tell you your exact chance. If you have 2 fate points, your chance is 1.0 (100%).