Matt Wolf



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Roulette

• Students will each place one chip somewhere on the board

• Spin the wheel and the resulting number/color is the winning bet

• Winning bets are paid according to the table to the right

• All losing chips that were bet are returned to the House Bank

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Blackjack

Gameplay:

• Students will rotate playing the role of the Dealer

• All cards are at value, face cards count as 10, and Aces can be either 1 or 11 (player chooses)

• All students that are not the Dealer must bet one chip by placing it on the table in front of their seat

• The Dealer will deal each player 2 cards face up and deal himself 1 card face up and 1 card face down

• After examining your two cards, you may choose to HIT (receive another card) or STAND (your score is finalized and no further cards will be dealt to you)

• Continue this process until each player has elected to STAND at which point the Dealer reveals his cards

• The Dealer must HIT until his score is greater than or equal to 16 at which point the Dealer must STAY

Payouts:

• If the Dealer scores 21 all players lose the hand and their chips are put in the House Bank

• If the Dealer goes over 21 all players win the hand and keep the chip they bet and receive one additional chip

• If the result of the hand is a tie then you get your bet chip back

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Craps

• Students will place their bets on the table by placing one chip in one of the following areas of the table:

• Area 1: “Pass Line”

• Area 2: Orange Numbers 4, 5, 6, 8, 9, or 10 (called the “Point”)

• Area 3: “Don’t Pass Bar”

• One student (called the “Shooter”) rolls two dice and the results are based on the following rules:

• Sum of 7 or 11 – Pass Line bets win

• Sum of 2, 3, or 12 – Don’t Pass Bar bets win

• Sum of 4, 5, 6, 8, 9, or 10 – Individual number bet wins

|Bet Placement |Winning Sums |Payout |

|Pass Line (PL) |7 or 11 |$4 |

|Don’t Pass Bar (DPB) |2, 3, or 12 |$9 |

|Point #4 |4 |$11 |

|Point #5 |5 |$10 |

|Point #6 |6 |$7 |

|Point #8 |8 |$7 |

|Point #9 |9 |$10 |

|Point #10 |10 |$11 |

|Type of Bet |Payout |

|Single # |Any # |$36 |

|Row |1st Row |$3 |

| |2nd Row |$3 |

| |3rd Row |$3 |

|Set of 12 |#1-12 |$3 |

| |#13-24 |$3 |

| |#25-36 |$3 |

|Set of 18 |#1-18 |$2 |

| |#19-36 |$2 |

|Odd/Even |Odds |$2 |

| |Evens |$2 |

|Black/Red |Black |$2 |

| |Red |$2 |

|Color |Value |

|White |$1 |

|Red |$1 |

|Blue |$2 |

|Green |$3 |

|Black |$5 |

Roulette:

Directions: Use the picture of the Roulette board to fill in the following chart of probabilities and winnings.

# Items in Sample Space = _____

Blackjack:

Directions: Complete the following table to calculate the probabilities of various sums in the game Blackjack.

# Items in Sample Space = _____

|Sum of 1st Two Cards |List Cards for Sum|P(18) |List Cards for Sum |P(19) |

| |18 | |19 | |

|Single # |Any # |A | |P(A) = |$36 |

|Row |1st Row |B | |P(B) = |$3 |

| |2nd Row |C | |P(C) = |$3 |

| |3rd Row |D | |P(D) = |$3 |

|Set of 12 |#1-12 |E | |P(E) = |$3 |

| |#13-24 |F | |P(F) = |$3 |

| |#25-36 |G | |P(G) = |$3 |

|Set of 18 |#1-18 |H | |P(H) = |$2 |

| |#19-36 |I | |P(I) = |$2 |

|Odd/Even |Odds |J | |P(J) = |$2 |

| |Evens |K | |P(K) = |$2 |

|Black/Red |Black |L | |P(L) = |$2 |

| |Red |M | |P(M) = |$2 |

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( __ , __ ) ( __ , __ ) ( __ , __ ) ( __ , __ ) ( __ , __ ) ( __ , __ ) ( __ , __ ) ( __ , __ ) ( __ , __ )

Sample Space =

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Craps:

Directions: Fill in the Sample Space with all of the possibilities when rolling two dice (order matters).

# Items in Sample Space = _____

Directions: Use the Sample Space as defined above to fill in the following table.

|Bet Placement |Winning Sums |# of Winning Dice Rolls |Probability |Payout |

|Pass Line |7 or 11 | |P(PL) = |$4 |

|(PL) | | | | |

|Don’t Pass Bar (DPB) |2, 3, or 12 | |P(DPB) = |$9 |

|Point #4 |4 | |P(4) = |$11 |

|Point #5 |5 | |P(5) = |$10 |

|Point #6 |6 | |P(6) = |$7 |

|Point #8 |8 | |P(8) = |$7 |

|Point #9 |9 | |P(9) = |$10 |

|Point #10 |10 | |P(10) = |$11 |

Critical Thinking Questions:

Directions: Answer the following questions on another sheet of paper. Be sure to justify your answers with

mathematical reasoning.

Consider the following scenario when answering the Critical Thinking Questions:

Two students make bets based on the results of flipping a coin. Henry will pay Tom $2 every time the coin lands on tails. Tom will pay Henry $3 every time the coin lands on heads. In terms of probability and payout, consider whether or not you believe this is a fair game.

1) Compare the probability of placing a winning bet (of any type) and the payout received in the game of Roulette. How does the probability vs. payout favor the casino? In other words, explain how roulette is guaranteed to generate a profit for a casino.

2) In your opinion, what card would you least want for a Dealer to have facing up after cards are dealt? Why do you believe this is the worst card for you to play against?

3) After playing Craps, you should have a good idea of which bets are likely to win and which bets will provide the most winnings. In your opinion, which type of bet is the most successful (in terms of chances of winning or amount of chips won)? Defend your opinion with mathematical reasoning by providing an analysis of the various probabilities and payouts.

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