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**MATH 119 – GOODIES
FOR PART 2 **

*COINS EXTRA CREDIT*

http://www.kkuniyuk.com/Math119Coins.pdf

OR

http://www.kkuniyuk.com/Math119Coins.docx

You
may use the handout I gave out in class - or if you missed class, the attached
.docx or .pdf file. When turning in your work with your name, you may use
another appropriate file that you make. Make sure NOT to indicate
which group you are in - someone else is supposed to figure it out.

If
you did not pick a card in class, have random.org flip a coin for you and then
follow the instructions on the handout. Let heads = black card;
tails = red card.

Here
is a link that will help (especially if you drew a black card in class or got
“heads”):

If
that site’s down, try:

*DICE GRID*

http://www.kkuniyuk.com/Math119DiceGrid.pdf

*VIDEO WITH CARD GRID*

https://www.youtube.com/watch?v=DkE4KEWiDRs

*OTHER GOODIES – PART 1*

**What is
random? Great videos!!**

https://www.youtube.com/watch?v=9rIy0xY99a0

**Law of
Large Numbers** (coin simulations)

http://www.kkuniyuk.com/M119LLNHandout.pdf

**Flipping
coins**

http://www.rossmanchance.com/applets/OneProp/OneProp.htm

**Dice**

**Roulette
(about Roulette; our videos!)**

https://www.youtube.com/watch?v=pYKcPL0N9QQ

https://www.youtube.com/watch?v=Gcy3_HhFbyY

https://www.youtube.com/watch?v=BJUjRkkM9mQ

**Cards (with
a fun intro)**

https://www.youtube.com/watch?v=DkE4KEWiDRs

https://www.random.org/playing-cards/

*OTHER GOODIES – PART 2*

**Lesson 18:
Binomial Probabilities**

http://www.kkuniyuk.com/StatisticsBook/v002/5BinomialProbabilities.xlsx

**RANDOMNESS**

**Poisson scatter – Raindrops, Bombing London, Glowworms - life
isn’t fair!**

https://www.wired.com/2012/12/what-does-randomness-look-like/

**Our Sense of Probability**

http://www.kkuniyuk.com/Math119ProbSense.pdf

http://www.kkuniyuk.com/Math119ProbSense2.pdf

**Gambler’s Fallacy (related to #1 above)**

**• Molly’s Game: Harlan: Going full
tilt (WARNING: PROFANITY!)**

https://www.youtube.com/watch?v=nL18OmsaSQA

**FUN CLASS LINKS FROM LESSON 18 - **

**BINOMIAL DISTRIBUTIONS and MONTY HALL**

**Flipping coins - good examples of binomial distributions!**

**When you flip 100 fair coins and count heads, you’re sampling from
Bin(n=100, p=1/2).**

http://www.rossmanchance.com/applets/OneProp/OneProp.htm

**Monty Hall**

**D!ng**** (from class)**

https://www.youtube.com/watch?v=TVq2ivVpZgQ

**In class, we sampled from Bin(n=18,
p=2/3).**

**Play it! Or have the computer play it (see the
"Repeat" line)! (Rossman/Chance applet)**

http://www.rossmanchance.com/applets/MontyHall/Monty04.html

**100 doors**

https://www.youtube.com/watch?v=4Lb-6rxZxx0

**Lots of YouTube links**

https://www.youtube.com/results?search_query=monty+hall+problem

**Variations**

__http://www.cut-the-knot.org/hall.shtml__

**Monty Hall analysis**

http://www.kkuniyuk.com/Math119MontyHallAnalysis.pdf

**Monty Hall handout**

http://www.kkuniyuk.com/Math119MontyHall.pdf

**Plinko**** / Pascal’s
Triangle (theory for the Binomial Formula)**

**"The Wall" - a more modern version (but no sliding!)**

https://www.youtube.com/watch?v=pz2uqymHSvk

http://www.youtube.com/watch?v=vuMir11YFPs

https://www.mathsisfun.com/pascals-triangle.html

http://www.kkuniyuk.com/Math119PascalMagic.pdf

** The Beauty of Pascal's
Triangle (See Notes 4.12)**

The Magic of Pascal's
Triangle (Plinko from *The Price is Right*
and Word Jumbles)

See
__Chaos and Fractals__ by Peitgen, et al:

**QUINCUNX ("PLINKO") APPLETS AND SITES**

http://www.jcu.edu/math/isep/Quincunx/Quincunx.html** **(This applet's better.)

http://www.ms.uky.edu/~mai/java/stat/GaltonMachine.html

http://en.wikipedia.org/wiki/Bean_machine** **(Wikipedia article)

http://en.wikipedia.org/wiki/Quincunx** **(Wikipedia article)

**Binomial Distribution: Gallery of Binomial Histograms**

http://www.kkuniyuk.com/M119BinomialHandout.pdf

**• FUN WITH PASCAL'S TRIANGLE (THEORY: BINOMIAL FORMULA)**

**• BINOMIAL HISTOGRAMS**

Binomial Distributions
(Produced with *Mathematica* and *Microsoft Word* with *MathType*.)

**• YOUTUBE GAME SHOW LINKS**

**•** *Greed* (going
for $2.2M!!): http://www.youtube.com/watch?v=9NWDl21PSY0

•
*Super Greed* ($2M question): http://www.youtube.com/watch?v=zQxCu4Pqp2U&feature=related

•
Big risk on *Deal or No Deal* (a special episode with multiple $1M cases):
http://www.youtube.com/watch?v=MQ40bwT-0fU.
Think about the banker’s offers. We’re going to discuss them. If you were the
player, what would you have done?

•
*Deal or No Deal - Australia* (watch the video, think about “the odds of
that …,” and then read the description).

http://www.youtube.com/watch?v=PEOL0CtQR4I

**•
***The
Price is Right / Plinko *winner (the Plinko board is in the second half): http://www.youtube.com/watch?v=vuMir11YFPs.
What does this have to do with Pascal’s triangle?

**GAMES DAY 2:**

**• COOL "BIRTHDAY PROBLEM" APPLET!! ALSO, THE CHARTS I
USED TO FIGURE OUT MY PROBABILITY OF WINNING (?) MY BET.**

Birthday List (list
of probabilities)

Our Sense of Probability
(Questions) (questions to think about; given in class) … Our Sense of Probability
(Solutions)

The Difficulty of Faking
Data (by Theodore P. Hill. Coin runs and Benford's
Law - very unexpected!)

**If
you like to trick or manipulate people, check out my "Great Books"
link below (especially Plous)! **Click here

**GAMES DAY 1:**

Coin Flips (Extra Credit)
(given in class)

**Applet:
(Play the game with the computer keeping score!)**

http://www.stat.sc.edu/~west/javahtml/LetsMakeaDeal.html

**Monty
Hall Web Sites:**

http://www.youtube.com/watch?v=mhlc7peGlGg
(complete explanation)

http://www.cut-the-knot.org/hall.shtml
(includes variations)

http://www.maa.org/devlin/devlin_07_03.html

(Deep
thoughts and interesting perspectives from a renowned mathematics writer.)

http://astro.uchicago.edu/rranch/vkashyap/Misc/mh.html

(Goes
deeply into the probability behind this!)

http://www.comedia.com/hot/monty.html

**• MONTY HALL STATS**

http://www.kkuniyuk.com/Math119MontyHallAnalysis.pdf
– compare the observed relative frequency distribution with the theoretical
(binomial) probability distribution

**Information
on the cognitive psychology we discuss in this class.**

http://en.wikipedia.org/wiki/List_of_cognitive_biases
(List of cognitive biases)

http://en.wikipedia.org/wiki/Amos_Tversky**
**(Tversky was one of my profs.)

**• OUR SENSE OF PROBABILITY**

**• THE SAD TALE OF MR. AKIO KASHIWAGI**

http://en.wikipedia.org/wiki/Akio_Kashiwagi

**GREAT BLOG:**

**ASK
GOOD QUESTIONS**

HOME (all classes) MATH 119 HOME

Email me (I
encourage corrections!)