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Volume IV
Shipwrecked
By Elizabeth Knapp
Abstract: A
large number of people are shipwrecked on an island.
They live and breed on this island for many generations.
After many generations, how many last names would we expect to have?
Rolling Dice
By Brenda Ashmore
Abstract: Given
multiple opponents successively rolling an n-sided die, a player is
eliminated if he does not improve on the first player’s roll.
Our goal is to find the probabilities that each player is the last to be
eliminated.
Mastermind:
Breaking the Codes
By Shawn Chiappetta and Steven Gannaway
Abstract: We
investigate the game Mastermind and work out an algorithm to find out whether we
can determine the hidden code within 4 guesses.
We found an algorithm for determining the code within 5 guesses.
Points to Ponder
By Jamie Schend
Abstract:
We give a probabilistic analysis of winning the game of cribbage.
When Blessed
Events Coincide
By Amanda Beck and A. J. Mitchell
Abstract:
By making a few assumptions to create a new, more predictable world,
the probability of a couple having a baby on their first wedding anniversary can
be found.
The 0-4-7
Conjecture and So Much More
By Audrey Bork
Abstract: We
consider fast approximations for calculating the number of digits in kn.
4/52 Blackjack
By Deenie Ostrander
Abstract: Given
the rules for dealer blackjack as defined below, we find the probability of
winning at the game.
Once this is calculated, we change the breakpoint to see what results
there would be, and at which point the dealer has a greater probability of
winning.
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