The community cards are: 9 of Diamonds, 5 of Clubs, 5 of Hearts, 5 of Spades, and 9 of Spades.
- Hand A: Ace of Clubs, Ace of Spades
- Hand B: 9 of Hearts, 10 of Hearts
Step 1: Analyze the community cards
The community cards include:
- Three 5s (Clubs, Hearts, Spades) → This gives a Three of a Kind (5s).
- Two 9s (Diamonds, Spades) → This pairs with the 5s to form a Full House: 5s over 9s (5-5-5-9-9).
Step 2: Evaluate Hand A (Ace of Clubs, Ace of Spades)
- Hand A has a pair of Aces.
- Combining with the community cards, the best hand is:
- The community cards already form a Full House (5-5-5-9-9).
- The Aces don't improve this hand because the Full House is already the best possible hand using the community cards, and the Aces can't form a better Full House (e.g., Aces over 5s would require three Aces, but there are only two).
- Therefore, Hand A's best hand is the Full House: 5-5-5-9-9.
Step 3: Evaluate Hand B (9 of Hearts, 10 of Hearts)
- Hand B has a 9 of Hearts, which pairs with the two 9s on the board (9 of Diamonds, 9 of Spades), giving three 9s.
- The community cards also have three 5s.
- Combining these, Hand B can form a Full House: 9s over 5s (9-9-9-5-5).
- The 10 of Hearts doesn't contribute to improving this hand further, and there’s no flush possibility since there are only two hearts on the board.
Step 4: Compare the hands
- Hand A: Full House, 5s over 9s (5-5-5-9-9).
- Hand B: Full House, 9s over 5s (9-9-9-5-5).
In poker, when comparing Full Houses, the rank of the three-of-a-kind portion is compared first:
- Hand A has three 5s.
- Hand B has three 9s.
- Since 9s rank higher than 5s, Hand B's Full House (9s over 5s) beats Hand A's Full House (5s over 9s).
Conclusion
Hand B is the winner with a Full House of 9s over 5s.
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