HMD436 Test #2

HMD436 Test #2 Preparation Name______________________

Consider a three reel single-line slot machine with weighted reels. The following table shows the total weights per reel for each symbol.

Symbol	Reel 1	Reel 2	Reel 3
Bar	4	3	2
Bell	5	4	3
Plum	6	5	4
Orange	7	6	5
Blank	42	46	50
Total	64	64	64

3 bars pays 1200, 3 bells pays 400, 3 plums pays 100, and 3 oranges pays 75, all per coin bet. Use the following table to determine the player’s expected return. Put the answer in the lower right cell of the table below.

Payline	Combinations	Probability	Pays	Return
3 bars			2500
3 bells			1000
3 plums			500
3 oranges			250
Total

Consider a modified keno game in which there are 50 balls in the chamber, of which 12 will be drawn at random. The pick 7 game pays 5 for matching 4, 50 for matching 5, 500 for matching 6, and 10000 for matching 7. Fill in all cells in the following table to determine the player’s expected return.

Match	Combinations	Probability	Pays	Return
4			5
5			50
6			500
7			10000
Total

Consider a game of Derby with the following pay table. As usual for games where the player doesn’t get the original bet back all pays are on a "for one" basis.

Quinella	Pays	Fair probability	True probability	Return
1,2	23
1,3	47
1,4	108
1,5	13
2,3	7
2,4	16
2,5	2
3,4	32
3,5	4
4,5	9
Total

What is the player’s expected return on the 1,2 quinella?

Determine the expected value of the Royal Match side bet in a 9-deck game.

Hand	Combinations	Probability	Pays	Return
Royal match			25
Easy match			2.5
Non-suited			-1
Total

Determine the expected value of the Pair Square side bet in a 7-deck game.

Hand	combinations	probability	pays	Return
Suited pair			15
Non-suited pair			10
non-pair			-1
total

Determine the expected value for the Super Sevens bet in a 5-deck game.

Hand	Permutations	Probability	Pays	Return
1 seven			3
2 unsuited 7's			50
2 suited 7's			100
3 unsuited 7's			500
3 suited 7's			5000
Non-paying hand			-1
Total