{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# lect1 - THE MULTIPLICATION RULE PERMUTATIONS COMBINATIONS...

This preview shows pages 1–7. Sign up to view the full content.

THE MULTIPLICATION RULE PERMUTATIONS COMBINATIONS Introduction to Probability Models Xinghua Zheng 1 1 ISOM, HKUST 1 / 15 Xinghua Zheng Lect 1: Combinatorics

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

View Full Document
THE MULTIPLICATION RULE PERMUTATIONS COMBINATIONS Outline THE MULTIPLICATION RULE PERMUTATIONS COMBINATIONS SOME COMBINATORIAL IDENTITIES SUMMARY 2 / 15 Xinghua Zheng Lect 1: Combinatorics
THE MULTIPLICATION RULE PERMUTATIONS COMBINATIONS EXAMPLE: POKER A deck of cards In (five-card draw) poker, you are dealt 5 cards. A hand such as with two cards of one rank, and three cards of another rank, is called a full house . Q: What’s the chance of being dealt a full house? 3 / 15 Xinghua Zheng Lect 1: Combinatorics

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

View Full Document
THE MULTIPLICATION RULE PERMUTATIONS COMBINATIONS EXAMPLE: POKER ( ctd) Assume that all possible poker hands are equally likely , then the chance of being dealt a full house equals p FH := N FH N where N := the number of all possible poker hands N FH := the number of those hands that are a full-house. Q: How to compute N and N FH ? – This lecture develops combinatorial methods to compute N and N FH , and related quantities. 4 / 15 Xinghua Zheng Lect 1: Combinatorics
THE MULTIPLICATION RULE PERMUTATIONS COMBINATIONS THE MULTIPLICATION RULE FOR COUNTING Two cards will be drawn without replacement from the following mini-deck Q: If keep track of the order of the cards, how many outcomes are there? The first card can be chosen in ways. Regardless of the choice of the first card, the second card can be chosen in ways. There are × = possible pairs. 5 / 15 Xinghua Zheng Lect 1: Combinatorics

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

View Full Document
THE MULTIPLICATION RULE PERMUTATIONS COMBINATIONS MULTIPLICATION RULE ( ctd) Q: If draw three cards without replacement and keep track of the order, how many possible outcomes are there?
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 15

lect1 - THE MULTIPLICATION RULE PERMUTATIONS COMBINATIONS...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online