TU Wien:Statistik und Wahrscheinlichkeitstheorie UE (Levajkovic)/Übungen 2024W/HW01.2
- Poker game
A full deck of cards consists of 52 cards: 13 ranks (2, . . . 9, 10, J, Q, K, A)and 4 suits (♥, ♠, ♦, ♣). Poker hands consist of 5 cards. In poker game, one pair refers to two cards of the same rank and three others (pairwise different additional rank), while three of a kind refers to three cards of the same rank and two of different ranks. A hand with one pair and one three of a kind is called a full house. What is the probability to obtain two pairs? What is the probability of getting three of a kind? What is the probability of getting a full house?
For example, {5♠, 5♥, 8♦, 9♣, 10♥} is a hand with one pair, {A♠, 2♥, 8♦, 8♣, 8♥} is three of a kind hand and {5♠, 5♥, 8♦, 8♣, 8♥} is a full house.
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