The Math of Patches

An insightful post from my friend, Joseph! Check out his blog and happy hearthstoning – maybe figure out the math while you’re at it for an extra fun challenge 🙂

It Began with Potatoes

Hey everyone,

Here today with something a little bit different, an article on the card “Patches” from the popular card game Hearthstone. Very often, quantitative analysis of cards is difficult to achieve because of the diverse variety of decks that a single card can be played in, as well as the situation surrounding when the card is played.

Screen Shot 2017-01-22 at 10.34.36 PM.png Figure 1: Patches the Pirate!

“Patches” is a card that is activated when a card from a “pirate” is played. A “pirate” is a subset of the card pool that we’ll refer to as an activator for purpose of general use. Patches is removed from the deck, and pulled directly into play if a pirate is played. While the benefit of this cannot be understated, there is a worst-case scenario:

If Patches is in the hand when an activator is played, the card is NOT removed from the deck (as it is in…

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