{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Poker Probability Example Problems

# Poker Probability Example Problems - Poker Probability...

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

Poker Probability Example Problems: ASSUME THAT THE HANDS ARE 5 CARDS FROM A STANDARD 52 CARD DECK UNLESS OTHERWISE NOTED SOME ANSWERS WILL VARY DEPENDING ON THE DEFINITION OF ALLOWABLE STRAIGHTS: SOME PEOPLE DO NOT INCLUDE THE STRAIGHT FROM ACE TO 5 AS ALLOWABLE. Example 1 Let A be the event that all 5 cards are different with respect to their value (no other restrictions). 13 4 * ^ 5 5 1 ( ) ( ) 52 ( ) 5 N A P A N . The “13 choose 5” represents the number of ways to get 5 different face values from the 13 total face values. The “4 choose 1” represents the number of ways to get a suit of a particular card. This term is raised to the 5 th power since we have 5 cards total and each one has the same number of ways of being “assigned” a suit. P(A) is .5071. Example 2 IMPORTAN T DISTINCTION: Please be aware that event A is not the event of “your best hand is a high card” i.e. the best hand you can put forth is a high card or all one of a kinds. Let B be the event that your best hand is a “high card” or that you have at best all one of a kinds. Event B is different from A since we cannot have straights or flushes in Event B, but they were allowable in Event A. One must be careful in assessing whether or not “better hands” are allowable for our given event. If they are not, we must make sure to exclude them. In this case, we only have to modify the probability of A slightly to get the probability of B.

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

View Full Document
5 13 4 # of straights * # of flushes 5 1 ( ) ( ) 52 ( ) 5 N B P B N .
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern