Poker Hands_solutions - STAT 230: Introduction to...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
STAT 230: Introduction to Probability and Random Variables Summer 2009 Problem set: Introduction to Poker Solutions PROCEDURE: We will first choose from the 13 kinds common to each suit, then we choose the suit for each group of cards that have the same kind. The total number of poker hands is 52 5 Pair : We choose the kind for the pair. There are 13 1       choices for that. Now we have 12 kinds from which to choose the remaining 3 which works out to be 12 3 combinations. So, the total number of kind choices for this case is 13 12 1 3    ×       . In choosing the suits, for the pair we have 4 2       choices and for the rest of the cards we have 4 1       choices each. So, the number of suit choices in this case is 4 4 4 4 1 1 1 2         × × ×                 The total number of hands with one pair is 4 4 4 4 13 12 1 1 1 2 1 3            × × × × ×                      
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Two Pairs : We have to choose 2 kinds, one for each pair. We have 13 2       choices there. Then, we have 11 1       kinds left to choose from for the last card. So, the number of kind choices for this case is 13 11 2 1     ×         . As for the suit choices, we have
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 5

Poker Hands_solutions - STAT 230: Introduction to...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online