PurgatoryD
Visionary
Silver Level
Wow, that first hand was wild. Great time for quads. Bad time for anything else.
By my calculations, the odds of getting the same hand at least 3 times out of 6 hands are roughly 2500:1 against, i.e. approximately 0.04% chance of happening.
The question remains, of course, are my calculations correct? I'll show my math in case anyone else wants to give this a go as well.
There are (52 * 51) / 2 = 1326 possible starting hands. Thus, the chance of getting one hand the same as another (i.e. two hands the same) is 1/1326. The chance of getting two hands the same as another (i.e three hands the same) is 1/1326 * 1/1326 = 1/1758276. The number of ways to order these three hands out of six hands dealt is 6! = 720. Thus, there are 720/1758276 possible ways to get at least three hands out of six the same as each other.
I hope I didn't botch that too badly!
In any event, it's definitely a rare event!
By my calculations, the odds of getting the same hand at least 3 times out of 6 hands are roughly 2500:1 against, i.e. approximately 0.04% chance of happening.
The question remains, of course, are my calculations correct? I'll show my math in case anyone else wants to give this a go as well.
There are (52 * 51) / 2 = 1326 possible starting hands. Thus, the chance of getting one hand the same as another (i.e. two hands the same) is 1/1326. The chance of getting two hands the same as another (i.e three hands the same) is 1/1326 * 1/1326 = 1/1758276. The number of ways to order these three hands out of six hands dealt is 6! = 720. Thus, there are 720/1758276 possible ways to get at least three hands out of six the same as each other.
I hope I didn't botch that too badly!
In any event, it's definitely a rare event!
PurgatoryD
Visionary
Silver Level