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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 13:
Independence and “Casino” (Warning: Profanity!)**

https://www.youtube.com/watch?v=JcZHSGyos6g

**Lesson 14:
Conditional Probabilities**

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

https://mste.illinois.edu/activity/birthday/

Birthday List (list
of probabilities)

**Lesson 16:
Expected Value and “Don’t Be a Gambling Addict!”**

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

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

Depiction
in “Casino”:

https://www.youtube.com/watch?v=ltURKC_V8Hg

Article on Kashiwagi (“The Warrior”) and “The Donald”:

https://www.politico.com/magazine/story/2016/02/japanese-gambler-donald-trump-213635?o=0

**• “MOLLY’S GAME”; ****Harlan:
Going full tilt**

**(WARNING: PROFANITY!)**

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

**Lesson 16:
Expected Value and “Deal or No Deal”**

•
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

**Lesson 17:
Counting**

**• “GREED” 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

**Lesson 18:
Binomial Probabilities (Excel)**

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

**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 (3-Door) problem**

**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

Compare the
observed relative frequency distribution with the theoretical (binomial)
probability distribution.

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

Use 0.67 for p.

**Monty Hall handout**

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

**Monty Hall distribution (Excel)**

5 (More): Probabilities for Binomial
Distributions (Monty Hall)

OR http://www.kkuniyuk.com/StatisticsBook/v002/5MontyHall.xlsx

**Explaining Monty Hall**

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

**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**

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

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

**•
***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?

See
__Chaos and Fractals__ by Peitgen, et al:

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

Play with this! Let n = Size
= # of questions.

Each ball corresponds to a student.

Each drop corresponds to a question.

Move Right = get the question “right” from random guessing.

Move Left = get the question wrong from random guessing.

Left/Right corresponds to q and p.
For an A, B, C multiple-choice test, use Left = 67%, Right = 33%.

Bottom axis = # of questions correct.

#s on bars = frequencies (#s of students).

https://www.mathsisfun.com/data/quincunx.html

http://www.jcu.edu/math/isep/Quincunx/Quincunx.html

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*.)

**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

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

**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.)

**Gambler’s Fallacy (related to #1 in “Sense”)**

**• “MOLLY’S GAME”; ****Harlan:
Going full tilt**

**(WARNING: PROFANITY!)**

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

**GREAT BLOG:**

**ASK
GOOD QUESTIONS**

HOME (all classes) MATH 119 HOME

Email me (I
encourage corrections!)