The third method he talks about he calls the “Smooshing Shuffle.” It involved spreading all the cards out in front of you and smooshing them around until they seem mixed.
This method has to be repeated ten thousand times to adequately shuffle the deck! His second, and least effective method, is the “Overhand Shuffle” where little piles of cards are dropped from one pile to another. It was determined that it takes seven riffle shuffles to properly mix the deck because fewer shuffles lead to a better chance of guessing more cards correctly, but more shuffling doesn’t change the probability.
#Two stacks of cards how to#
SEE ALSO: How to Win at Rock-Paper-Scissors, According to Math If he or she has a really good memory, the number of cards your friend is apt to get right is about 4.5 in the deck. If you do the same with the second card, his or her chances get better: 1/51. If you shuffle a deck of cards and ask a friend to guess what the first card you turn over will be, his or her chance of guessing it right is 1/52 since there are 52 possible cards. There are 10 68 different possible arrangements for a deck of 52 cards, so investigating the likelihood of each using each shuffling method is not practical. According to a theorem, seven of these shuffles are enough to get a properly mixed and randomized deck. The first method he discusses is the “Riffle Shuffle,” also known as the “Dovetail Shuffle,” and it is the one pictured above. In the Numberphile video below, Persi Diaconis from Stanford University explains how many times you need to shuffle using three common methods and the math behind the numbers he gives. Regardless of your method, the goal is always the same - ensuring that the cards are as randomized as possible. Pretty much every card game involves some sort of shuffling.
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