I'm playing video poker frequently and was wondering how often can I expect to get 4 of a kind? Is there a statistical probability or average rate for this hand in video poker?
5 answers
KimonoElegance
Sun Jan 19 2025
In the case of a four of a kind, this means having four cards of the same rank and one additional card of a different rank.
Lucia
Sun Jan 19 2025
Calculating the probability of a specific poker hand involves understanding the total number of possible hands and the number of ways to achieve the desired hand.
Lorenzo
Sat Jan 18 2025
The total number of possible five-card hands in a standard 52-card deck is calculated as 52 choose 5, which equals 2,598,961.
Caterina
Sat Jan 18 2025
To find the number of ways to get a four of a kind, we first choose one rank out of 13, then choose 4 cards out of 4 of that rank. For the fifth card, we choose any card from the remaining 48 cards that is not of the chosen rank.
GyeongjuGlory
Sat Jan 18 2025
This gives us 13 ways to choose the rank, 48 ways to choose the fifth card, and only one way to choose the four cards of the same rank. Multiplying these together and dividing by the total number of hands gives us the probability.