PDA

View Full Version : quick question - dont know how to figure this out


07-26-2005, 12:41 AM
If there are 12 ways to get dealt any 2 unsuited cards when no one has one of those cards, how many ways can you get dealt the same hand if someone has a pocket pair of one of your cards? (for example, there are 12 ways do deal AKo, but how many ways can you get dealt AKo if someone has AA?)
Also, how many ways can you be dealt an unsuited hand if someone has only 1 of your cards (example: how many ways can you get dealt AKo if someone has something like KQo?)

uuDevil
07-26-2005, 01:18 AM
[ QUOTE ]
If there are 12 ways to get dealt any 2 unsuited cards when no one has one of those cards, how many ways can you get dealt the same hand if someone has a pocket pair of one of your cards? (for example, there are 12 ways do deal AKo, but how many ways can you get dealt AKo if someone has AA?)

[/ QUOTE ]
You can easily list the possibilities. If A/images/graemlins/heart.gifA/images/graemlins/diamond.gif are out of play:

A/images/graemlins/club.gifK/images/graemlins/diamond.gif, A/images/graemlins/club.gifK/images/graemlins/heart.gif, A/images/graemlins/club.gifK/images/graemlins/spade.gif
A/images/graemlins/spade.gifK/images/graemlins/club.gif, A/images/graemlins/spade.gifK/images/graemlins/diamond.gif, A/images/graemlins/spade.gifK/images/graemlins/heart.gif

That's 6 ways.

[ QUOTE ]
Also, how many ways can you be dealt an unsuited hand if someone has only 1 of your cards (example: how many ways can you get dealt AKo if someone has something like KQo?)

[/ QUOTE ]

There are 3 remaining kings, each of which can be combined with one of 3 aces of nonmatching suits for 9 ways.