Gachapon Probability Calculator

Gachapon Probability Calculator MCP Connector for Claude

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Calculate the statistical likelihood, expected costs, and purchase requirements for completing a full Gachapon collection.

4 tools Official Updated Oct 1, 2026 Official Vinkius Partner

This MCP server provides precise mathematical tools for collectors using the Coupon Collector's Problem. Use expected_metrics to find the average cost and attempts needed for a set, completion_probability to determine the likelihood of finishing after a specific number of pulls, target_threshold to find how many purchases are required for a specific confidence level, and duplicate_probability to calculate the chance of having at least one duplicate of every item.

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4 tools expose this connector's capabilities to your AI agent.

duplicate_probability

Calculate the probability of having at least one duplicate of every item

expected_metrics

Calculate expected number of purchases and total cost to complete the set

target_threshold

Calculate the number of purchases needed to reach a target confidence level

completion_probability

Calculate the probability of having a complete set after K purchases

See how to talk to your AI agent using Gachapon Probability Calculator.

How much will it cost on average to collect a set of 50 Gachapon items if each costs $2?

To collect a set of 50 items at $2 each, you can expect to make approximately 224.96 purchases, resulting in an expected total cost of $449.92.

What is the probability of completing a 10-item set after 20 purchases?

The probability of having a complete set of 10 items after 20 purchases is approximately 0.541.

How many purchases are needed to be 90% confident in completing a 30-item set?

To reach a 90% confidence level for a 30-item set, you will need to make 128 purchases.

You can use the `expected_metrics` tool. Provide the total number of unique items in the set and the price per capsule to get the expected number of purchases and total cost.

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