The chances of different hands of playing cards

on Tuesday, April 21, 2009

If you are dealt 13 cards, your chances of getting the following hands are:
13 spades (in any order): 1 in 635,013,559,600
13 cards in the same suit (in any order): 1 in 158,753,389,900
13 spades in the CORRECT order (i.e. Ace,2,3,....queen,king): 1 in 3,954,242,643,910,000,000,000
If you have four players receiving 13 cards each, these are the chances involved:
All four players getting one complete suit each: 1 in 2,235,197,406,900,000,000,000,000,000
All four players getting all 13 cards of their favourite suit in the correct order :1 in 80,000,000,000,000,000,000,000,000,000,000,000,
000,000,000,000,000,000,000,000,000,000,000

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