seven
seven
  • Threads: 26
  • Posts: 264
Joined: Oct 1, 2013
August 30th, 2019 at 9:26:34 AM permalink
hello all again

please help me to get the chances for each outcome of the following simple poker variant

the deck has 20 cards - 4 Tens - 4 Jacks - 4 Queens - 4 Kings - 4 Aces
a player can choose 5 cards
what are the chances to get
3 of a kind
Straight
Full House
4 of a kind
Royal Flush

cheers
ChesterDog
ChesterDog
  • Threads: 9
  • Posts: 1730
Joined: Jul 26, 2010
August 30th, 2019 at 9:56:09 AM permalink
Quote: seven

hello all again

please help me to get the chances for each outcome of the following simple poker variant

the deck has 20 cards - 4 Tens - 4 Jacks - 4 Queens - 4 Kings - 4 Aces
a player can choose 5 cards
what are the chances to get
3 of a kind
Straight
Full House
4 of a kind
Royal Flush

cheers



I get:

3 of a kind: 1920/15504
Straight: 1020/15504
Full House: 480/15504
4 of a kind: 80/15504
Royal flush: 4/15504
seven
seven
  • Threads: 26
  • Posts: 264
Joined: Oct 1, 2013
August 30th, 2019 at 10:03:14 AM permalink
Quote: ChesterDog

I get:

3 of a kind: 1920/15504
Straight: 1020/15504
Full House: 480/15504
4 of a kind: 80/15504
Royal flush: 4/15504



thank you very much. as I thought to give each player 50 draws it looks like not many hits will appear. would you please be so kind and add 2 pairs to see if it makes sense to add it and even maybe 1 pair just to see more hits for the player
ChesterDog
ChesterDog
  • Threads: 9
  • Posts: 1730
Joined: Jul 26, 2010
August 30th, 2019 at 10:34:32 AM permalink
Quote: seven

thank you very much. as I thought to give each player 50 draws it looks like not many hits will appear. would you please be so kind and add 2 pairs to see if it makes sense to add it and even maybe 1 pair just to see more hits for the player



I get:

HandWaysProb.
nothing
0
0
pair
7680
0.495356
2 pairs
4320
0.278638
3 of a kind
1920
0.123839
Straight
1020
0.065789
Full House
480
0.030960
4 of a kind
80
0.005160
Royal Flush
4
0.000258
Total
15504
1
seven
seven
  • Threads: 26
  • Posts: 264
Joined: Oct 1, 2013
August 30th, 2019 at 10:53:16 AM permalink
Quote: ChesterDog

I get:

HandWaysProb.
nothing
0
0
pair
7680
0.495356
2 pairs
4320
0.278638
3 of a kind
1920
0.123839
Straight
1020
0.065789
Full House
480
0.030960
4 of a kind
80
0.005160
Royal Flush
4
0.000258
Total
15504
1



thanks again, very much appreciated

so each draw a winner, that sounds good to me and should please a player
now I need to think how much points I will give for each winner hand
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