GAM470 Name__________________

March 15, 2005 Homework

 

Questions 1-4: Consider a 5-deck blackjack game based on the player’s first two cards.

  1. How many ways can the player get a suited jack and king?

    2.  

     

     

     

     

     

     

     

     

     

  2. How many ways can the player get a suited pair of jacks, queens, or kings?

    3.  

     

     

     

     

     

     

     

     

  3. How many ways can the player get any other two suited cards, other than the two types in questions 1 and 2?

    4.  

     

     

     

     

     

     

     

     

  4. How many ways can the player get two non-suited cards?

    5.  

     

     

     

     

     

     

     

  5. Fill in the following table for the side bet West Hollywood Match and determine the expected value.
    6.

    Hand

    Combinations

    Pays

    Return

    West Hollywood Match*

    .

    50

    .

    Suited and ranked face card pair

    .

    25

    .

    Any other 2 suited cards

    .

    2

    .

    All other

    .

    -1

    .

    Total

    .

    .

    Expected value = _________________

    Questions 6-12: Consider an 8-deck blackjack side bet based on the player’s first two cards and the dealer’s up card. The king of hearts is known as the suicidal king.

  6. How many ways are there to get 3 suicidal kings?

    7.  

     

     

     

     

     

  7. How many ways are there to get any 3 kings, aside from 3 suicidal kings?

    8.  

     

     

     

     

     

  8. How many ways are there to get 2 suicidal kings, plus one non-king?

 

 

 

 

 

 

  1. How many ways are there to get any two kings (besides two suicidal kings), plus one non-king?

    2.  

     

     

     

     

  2. How many ways are there to get any one king (plus two non-kings)?

    3.  

     

  3. How many ways are there to get zero kings?

    4.  

     

     

     

     

     

     

  4. Fill in the following table to get the expected value of the side bet Suicidal Kings.

Hand

Combinations

Pays

Return

Three suicidal kings

.

10000

.

Any three kings

.

500

.

2 suicidal kings

.

100

.

Any two kings

.

10

.

Any one king

.

1

.

No kings

.

-1

.

Total

.

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.

13. You have a sock drawer with 8 white socks and 5 black socks. You pull out 3 at random and without replacement. What is the probability you pull out at least 2 white socks?

 

 

 

 

 

 

 

14. Fill in the following table for the game Derby.

Quinella

Pays (for one)

Indifferent probability

Fair Probability

Fair Odds (for one)

1, 2

8

.

.

.

1, 3

34

.

.

.

1, 4

22

.

.

.

1, 5

2

.

.

.

2, 3

70

.

.

.

2, 4

46

.

.

.

2, 5

4

.

.

.

3, 4

200

.

.

.

3, 5

17

.

.

.

4, 5

11

.

.

.

Total

--------

.

.

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  1. Assuming the house edge is the same on every bet, what is it?

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