JSM 2005 - Toronto

Abstract #302832

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 369
Type: Contributed
Date/Time: Wednesday, August 10, 2005 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistical Education
Abstract - #302832
Title: Illustrating Basic Probability Calculations Using the Dice Game 'Craps'
Author(s): Roger Johnson*+
Companies: South Dakota School of Mines & Technology
Address: 501 East St Joseph Street, Rapid City, SD, 57701, United States
Keywords: basic probability calculations ; conditional probabilities ; conditional expectations
Abstract:

Instructors may use the casino gambling game of craps to illustrate the use of a number of fundamental probability identities. For the "pass-line" bet, we focus on the chance of winning and the expected game length. To compute these, probabilities of unions of disjoint events and probabilities of intersections of independent events are used. The Law of Total Probability and iterated expectation formulas also are encountered.

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Revised March 2005