# Difference between revisions of "TU Wien:Statistik und Wahrscheinlichkeitstheorie UE (Bura)/Übungen 2019W/1.2"

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There are <math>\binom{52}5=2,598,960</math> possible hands. | There are <math>\binom{52}5=2,598,960</math> possible hands. | ||

− | <math>P(\text{full house}) = 3,744/2,598,960 | + | <math>P(\text{full house}) = 3,744/2,598,960 \approx 0.00144</math> |

− | b) <math>P(\text{royal flush}) = 4/2,598,960 | + | b) <math>P(\text{royal flush}) = 4/2,598,960 \approx 0.000001539</math> |

## Latest revision as of 07:27, 13 October 2019

- Poker game

A deck of 52 cards has 13 ranks (2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A) and 4 suits (♥, ♠, ♦, ♣). A poker hand is a set of 5 cards randomly chosen from a deck of 52 cards.

- (a) A full house in poker is a hand where three cards share one rank and two cards share another rank. How many ways are there to get a full-house? What is the probability of getting a full-house?
- (b) A royal flush in poker is a hand with ten, jack, queen, king, ace in a single suit. What is the probability of getting a royal flush?

## Lösungsvorschlag von Gittenburg[edit]

--Gittenburg 20:56, 12. Okt. 2019 (CEST)

a) ways to get a full-house

There are possible hands.

b)