Elementary Probability
http://www.maa.org/taxonomy/term/42053/0
enDinner, Dancing, and Tennis, Anyone?
http://www.maa.org/programs/maa-awards/writing-awards/dinner-dancing-and-tennis-anyone
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><b>Award:</b> Carl B. Allendoerfer</p>
<p><b>Year of Award:</b> 2001</p>
<p><b>Publication Information:</b> <i>Mathematics Magazine</i>, Vol. 73(2000), pp. 29-36</p>
<p><b>Summary:</b> Variations on the classic problems used to answer questions about seeding in the 1996 U.S. Open.</p>
<p><a href="/sites/default/files/pdf/upload_library/22/Allendoerfer/2001/0025570x.di021213.02p0060u.pdf">Read the Article</a></p></div></div></div>Medical Tests and Convergence
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/medical-tests-and-convergence
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><em>A patient takes a medical test but only wants to hear from her doctor if the news is good. In this article, the author analyzes the probabilities associated with various notification methods.</em></div></div></div>General Russian Roulette
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/general-russian-roulette
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>The game of Russian roulette is generalized to \(n\) players, each with a revolver.</em></p>
</div></div></div>Poker with Wild Cards-A Paradox?
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/poker-with-wild-cards-a-paradox
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>Allowing use of wild cards in poker can lead to unresolvable inconsistencies.</em></p>
</div></div></div>Child's Play
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/childs-play
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><em>The author shows a clever block stacking process for counting the total number of ways each possible sum can be rolled using three standard dice.</em></div></div></div>Dropping Scores
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/dropping-scores
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>Dropping the smallest or largest in a finite set of numbers does not necessarily lower the variance.</em></p>
</div></div></div>Copulas, Characterization, Correlation, and Counterexamples
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/copulas-characterization-correlation-and-counterexamples
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>Copulas can be employed in probability and mathematical statistics courses.</em></p>
</div></div></div>A Note on Conditional Probabilities
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/a-note-on-conditional-probabilities
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>The author discusses conditional probabilities and presents three simple hypotheses from which the classical definition of conditioning follows.</em></p>
</div></div></div>Bold Play Is Best: A Simple Proof
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/bold-play-is-best-a-simple-proof
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>A general version of the gambler's ruin problem is solved by elementary means.</em></p>
</div></div></div>Probabilities of Clumps in a Binary Sequence
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/probabilities-of-clumps-in-a-binary-sequence
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>A collection of cards, \(r\) with red faces \(b\) with black faces, are randomly laid face down in a row. What is the probability that \(t\) cards of the same color lie consecutively?</em></p>
</div></div></div>Math Bite: The Dagwood Random Nap
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/math-bite-the-dagwood-random-nap
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>An old Dagwood cartoon introduces brief discussion of a simple problem involving random walks.</em></p>
</div></div></div>Cars, Goats, \(\pi\) and \(e\)
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/cars-goats-pi-and-e
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><em>The author proposes two extensions of the Monte Hall problem, with solutions involving the numbers \(\pi\) and \(e\), respectively.</em></div></div></div>Tennis (and Volleyball) without Geometric Series
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/tennis-and-volleyball-without-geometric-series
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><em>Solving an expected value problem without using geometric series</em></div></div></div>Shanille Practices More
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/shanille-practices-more
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>A solution to a probabilistic Putnam Exam Problem is presented.</em></p>
</div></div></div>Heads Up: No Teamwork Required
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/heads-up-no-teamwork-required
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><em>A variation of the Hat Problem is discussed.</em></div></div></div>