Multinomial Distribution
- Woolf Casino -
Group Silicon
Soo Kim
Karen Staubach
Location
• Dow building, North Campus
Let’s Make Money~!
•
•
•
•
You
You
You
You
are smart!
are Taking ChE 466!
know Probability!
have $10 dollars!
• You want to make money!
Here Are the Choices!!!
• 1. Dice Game
• 2. Card Game – Jack or Better!
• 3. Money Ballz~!
Game 1. Dice Game
• Rules
• Toss a die 6 times!
• If you roll three “1”s and three “2”s!
• YOU WIN!
Game 1. Dice Game
• Probability
4!  1 
P(T wo "1"s and T wo "2"s) 
* 
2!2!  6 
2
2
1
   0.0046
6
• Wow, 0.46% Winning Chance!!!
Game 2. Jacks or Better
• Rules
• Pull a card from 4 different decks!
• If you have Jacks or Better (J, Q, K, A)
for all four cards, then YOU WIN!
Game 2. Jacks or Better
• Probability
4
4!  16 
P(Four Jacks or Better) *    0.0090
4!  52 
• Better Than Last Time, 0.9%!
Game 3. Money Ballz~!
• Rules
•
•
•
•
•
2 Orange, 3 Blue, 4 Yellow, 1 Red
Pick a ball and put it back!
Repeat 4 Times!
If you pick 3 Yellows and 1 Orange!
Then YOU WIN!!!
Game 3. Money Ballz~!
• Probability
4!  4 
P(To Win ) 
* 
3!1!  10 
• Wow, This is Amazing!!! 5%!
3
2
   0.05
 10 
What Are You Going To Do?
• Game 1 - 0.46% Winning Chance
• Game 2 - 0.9% Winning Chance
• Game 3 - 5% Winning Chance
LET’S JUST NOT PLAY!!!
“Woolf” Casino is EVIL!
Panda Express
• I think I just want to go Panda and
get two entrée with fried rice
• And SPRING ROLLS & LARGE DRINK!
• DON’T FORGET YOUR FORTUNE
COOKIE!!!
By The Way,