Has anyone ever analyzed the probabilities of the Monster Match progressive on Player's Edge 21?

48-card Spanish Decks

5 decks

Player's first two cards and Dealer's first two cards combine to make any of these:

4 of a Kind Suited - 100%

4 of a Kind Same Color - 10%

4 of a Kind - $200

3 of a Kind Same Color - $20

3 of a Kind - $10

Suited Pair - $3

Not sure why I get so lost when trying to deal with combinations. I figure the total number of four-card combinations from a 5-deck shoe is 240C4, or 134,810,340. Four of a Kind Suited seems like it would be 5C4 * 48? Am I on the right track?

Quote:Deucekies

Not sure why I get so lost when trying to deal with combinations. I figure the total number of four-card combinations from a 5-deck shoe is 240C4, or 134,810,340. Four of a Kind Suited seems like it would be 5C4 * 48? Am I on the right track?

Seems right to me.

Quote:DeucekiesHi all.

Has anyone ever analyzed the probabilities of the Monster Match progressive on Player's Edge 21?

48-card Spanish Decks

5 decks

Player's first two cards and Dealer's first two cards combine to make any of these:

4 of a Kind Suited - 100%

4 of a Kind Same Color - 10%

4 of a Kind - $200

3 of a Kind Same Color - $20

3 of a Kind - $10

Suited Pair - $3

Not sure why I get so lost when trying to deal with combinations. I figure the total number of four-card combinations from a 5-deck shoe is 240C4, or 134,810,340. Four of a Kind Suited seems like it would be 5C4 * 48? Am I on the right track?

A. 4 of a Kind Suited = c(5,4)*48

B. 4 of a Kind Same Color = c(10,4) *24 - A

C. 4 of a Kind = c(20,4) *12 - A - B

D. 3 of a Kind Same Color = c(10,3)*24 * 220

E. 3 of a Kind = c(20,3) *12 *220 - D

F. Suited Pair = c(5,2) * 48 *c(220,2)

Quote:gordonm888A. 4 of a Kind Suited = c(5,4)*48

B. 4 of a Kind Same Color = c(10,4) *24 - A

C. 4 of a Kind = c(20,4) *12 - A - B

D. 3 of a Kind Same Color = c(10,3)*24 * 220

E. 3 of a Kind = c(20,3) *12 *220 - D

F. Suited Pair = c(5,2) * 48 *c(220,2)

Brilliant, thank you! That's where I went wrong. I kept trying to use 48 instead of 24 or 12 where appropriate.

Quote:gordonm888A. 4 of a Kind Suited = c(5,4)*48

B. 4 of a Kind Same Color = c(10,4) *24 - A

C. 4 of a Kind = c(20,4) *12 - A - B

D. 3 of a Kind Same Color = c(10,3)*24 * 220

E. 3 of a Kind = c(20,3) *12 *220 - D

F. Suited Pair = c(5,2) * 48 *c(220,2)

How would you calculate the Other hands?

Thanks.