Name__________________

Homework February 15, 2005

 

 

A "Spanish deck" can be created by removing the four tens from a regular 52 card deck. So each Spanish deck has 48 cards. The following questions refer to five card probabilities from a single 48-card Spanish deck.

 

  1. How many five-card combinations are there from a Spanish deck?

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  2. How many pair combinations are there?

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  3. How many two pair combinations are there?

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  4. How many three of a kind combinations are there?

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  5. How many straight combinations are there? Assume that the jack comes directly after the 9. For example an 8,9,J,Q,K would count as a straight. The ace can also be high or low.

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  6. How many flush combinations are there?

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  7. How many full house combinations are there?

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  8. How many four of a kind combinations are there?

    9.  

     

     

     

     

     

     

     

  9. How many straight flush combinations are there (not including a royal flush)?

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  10. How many royal flush combinations are there?

 

 

 

 

 

 

 

 

11. How many ways can you get nothing (ace high or less)?

 

 

 

 

 

Following is the pay table for the slot machine Graduation Anxiety.

Pay Line

Pays

Three Graduation caps

5000

Three Parent's houses

2000

Three Telephones

1000

Three Newspapers

500

Three job applications

200

Three Suits

100

Three Resumes

75

Three Computers

50

Three Pizzas

25

Two Pizzas

5

One Pizza

2

 

For the last two wins the pizzas can appear anywhere on the pay line.

 

Next is the weighting of each symbol for each reel.

Symbol

Reel 1

Reel 2

Reel 3

Graduation cap

1

1

2

Parent's house

2

1

3

Telephone

3

3

4

Newspaper

4

3

5

Job application

5

6

6

Suit

6

6

7

Resume

7

8

8

Computer

8

8

9

Pizza

1

1

2

Blank

27

27

18

Total

64

64

64

 

Fill in the following table to calculate the return of this slot machine.

Payline

Pays

Probability Combinations

Return Combinations

Three Graduation caps

5000

Three Parent's houses

2000

Three Telephones

1000

Three Newspapers

500

Three Job applications

200

Three Suits

100

Three Resumes

75

Three Computers

50

Three Pizzas

25

Two Pizzas

5

One Pizza

2

Total

 

 What is the hit frequency? ______________

What is the return? ________________