How a Hypergeometric Calculator Can Be Useful For Card Games

A hypergeometric calculator can be very useful for deck building in games like Yugioh, Magic the Gathering, Hearthstone and Artifact. A hypergeometric calculator can be used to calculate the chance of drawing 1 or more copies of a particular card from a deck based on the size of the deck(number of cards in the deck), the number of cards that will be in the opening hand and the number of copies of the desired card that are in the deck. For example, if you have a deck that consists of 20 cards total, your opening hand will be 4 cards, the number of copies of the desired card that exist in the deck is 3 and you want to draw at least 1 of those copies, you would have a 50.88% chance of drawing 1 copy of the desired card, an 8.77% chance of drawing 2 or more copies and a 0.35% chance of drawing all 3 copies of the desired card. In a game like Yugioh Duel Links where 20 card decks are common and starting hands can consist of 4 cards for whoever goes first or 5 cards for whoever goes second, the previous example can be useful for determining how consistent a deck can be in starting off good. If you only have 3 good starter cards in a 20 card deck, you have around a 50% chance of having an optimal starting hand going first. and a 60% chance of having an optimal starting hand going second. 6 good starter cards would increase those percentages to 79.34% going first and 87.09% going second. That is a fairly high rate of consistency overall. Some times other cards can be very important to the deck but they might not necessarily be good "starter" cards(cards you want at the beginning of the duel in your opening hand). Since you can only use 3 copies of the same card in 1 deck in Yugioh Duel Links, the hypergeometric calculator gives you a good idea of what cards you should use 3 of and what cards you can afford to only use 2 or 1 of. The percentages can also indicate whether or not you need to add other cards to compensate for a potential lack of consistency. This can be extremely useful in the process of deck building.