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

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Gittenburg (talk | contribs) (Die Seite wurde neu angelegt: „;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 randoml…“) |
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:(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? | :(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 [[Benutzer:Gittenburg|Gittenburg]] == |

+ | --[[Benutzer:Gittenburg|Gittenburg]] 20:56, 12. Okt. 2019 (CEST) | ||

+ | |||

+ | a) <math>13 \cdot \binom43 \cdot 12 \cdot \binom42=3,744</math> ways to get a full-house | ||

+ | |||

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

+ | |||

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

+ | |||

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

## Revision as of 20:56, 12 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

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

a) ways to get a full-house

There are possible hands.

b)