Math Tricks
prepared by
Dr. Myron
Hlynka, Dept. of Math. &
Stat, U. of Windsor.
May 12, 2012.
May 12, 2012
Science Rendezvous
Mathematics and Probability Tricks.

The Vanishing Leprechaun. Shift two pieces of
paper and the
count of the number of leprechauns changes.
How is
this
possible?
(Category: geometry)

Stack up 5 dice randomly and the mathemagician will sum the
numbers hidden in the centre column?
How can he do this?

Pick a 3 digit integer and rearrange the digits to get a second
3 digit integer.
Subtract the smaller number from the larger
number.
The mathemagician will ask for all but one digit and then
predict the missing digit.
Amazing!!
(Category: number theory, congruence)

Choose a 2 digit number that is not divisible by 3.
Raise the
number to the 6th power and tell the mathemagician all of the
digits except one.
The mathemagician will announce the missing
digit.
(Category: number theory, Euler's Theorem)

Throw a die until it settles on a number like (2,3,4,5,6).
The
mathemagician has a sealed envelope prepared to determine the
number on which you stopped.
(Category: number theory, probability)

A set of dice are arranged in a rectangular chocolate box. Pick
a starting value and count your way until the end of the box.
Without knowing your start value, the mathemagician will determine
your end value.
(Category: probability, stochastic coupling)

A deck of cards is sorted so that red and black cards alternate.
The deck is then shuffled exactly once with a riffle shuffle.
After shuffling, the cards are removed in pairs. What is the probability
that each pair contains one red and one black card?
It's not what you might think!
(Category: probability, proof by induction)

Sicherman dice. New for 2012 Science Rendezous. !!.
Your mathemagician is Dr. Myron Hlynka.
http://web2.uwindsor.ca/math/hlynka/index.html