Die #1 Rol Possible Outcome 1 2 3 4 5 6 Die #2 1 1 1 1 9.00 1st Roll "Coming out of Odds Winning (7 or 11) Cras 2,3 or 12) Points 2 3 4 5 Pass Line Bel - Pays Even Money lie $1 staket on winget $1 + $1 back = $2; onlose gezero) Rules On come outrol 7 or 11 win 2 3 or 12 craps! (ie kose) Anything Else that rol becomes "The Point keep roling until you k 7 or the Point Point wit 7-lose 1 1 5 2 6 7 8 9 10 11 2 2 9 10 2 2 2 Expected Value of the Bet Possible initial Rohs If POINT Probability Prob of Win Payout Expected Value 12 13 14 15 3 3 7 11 2 2 16 17 18 3 3 7 3 4 4 5 6 7 B 4 5 6 7 8 9 5 6 7 8 9 10 6 7 7 8 9 1 2. 3 4 5 6 1 2 3 4 5 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2. 3 4 5 6 Odds of Each Rol 2 3 4 5 6 7 7 8 9 12 4 5 6 3 4 4 8 4 19 20 21 22 23 21 10 11 9 10 4 12 Expected Value of $1 Bet $ 4 4 5 5 5 5 5 25 27 5 5 10 11 7 8 29 30 31 32 33 31 30 36 6 6 6 6 6 6 6 9 10 11 12 Odti Bet - If punter had placed a Pras Line bet and a Point had been roled the casino allows the puntar to place another wager behind the recaled the odds bet Points Odds Bet Payout For each $1 bet 4 2 to 1 $ 3.00 5 3 10 2 3 250 6 6 to 5 $ 220 B 610 5 $ 2.20 9 3102 $ 250 10 2 10 1 5 3.00 Calculate the expected Value of the Odds Bet for each Point Points Wh Probably Payout Expected Vale S 3.00 5 $ 2.50 $ 2 20 $ 9 $ 2.50 10 $ 3.00 220 Hard Eights Bet-punter bets that a double 4 is coming up. Win an double-4. lose on ANY other 8 or 7! Payout 9 to 11 Outcomes possible outcomes peyou probability FALVA double- $10 B 0 7 D total possible outcomes 0 Die #1 Rol Possible Outcome 1 2 3 4 5 6 Die #2 1 1 1 1 9.00 1st Roll "Coming out of Odds Winning (7 or 11) Cras 2,3 or 12) Points 2 3 4 5 Pass Line Bel - Pays Even Money lie $1 staket on winget $1 + $1 back = $2; onlose gezero) Rules On come outrol 7 or 11 win 2 3 or 12 craps! (ie kose) Anything Else that rol becomes "The Point keep roling until you k 7 or the Point Point wit 7-lose 1 1 5 2 6 7 8 9 10 11 2 2 9 10 2 2 2 Expected Value of the Bet Possible initial Rohs If POINT Probability Prob of Win Payout Expected Value 12 13 14 15 3 3 7 11 2 2 16 17 18 3 3 7 3 4 4 5 6 7 B 4 5 6 7 8 9 5 6 7 8 9 10 6 7 7 8 9 1 2. 3 4 5 6 1 2 3 4 5 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2. 3 4 5 6 Odds of Each Rol 2 3 4 5 6 7 7 8 9 12 4 5 6 3 4 4 8 4 19 20 21 22 23 21 10 11 9 10 4 12 Expected Value of $1 Bet $ 4 4 5 5 5 5 5 25 27 5 5 10 11 7 8 29 30 31 32 33 31 30 36 6 6 6 6 6 6 6 9 10 11 12 Odti Bet - If punter had placed a Pras Line bet and a Point had been roled the casino allows the puntar to place another wager behind the recaled the odds bet Points Odds Bet Payout For each $1 bet 4 2 to 1 $ 3.00 5 3 10 2 3 250 6 6 to 5 $ 220 B 610 5 $ 2.20 9 3102 $ 250 10 2 10 1 5 3.00 Calculate the expected Value of the Odds Bet for each Point Points Wh Probably Payout Expected Vale S 3.00 5 $ 2.50 $ 2 20 $ 9 $ 2.50 10 $ 3.00 220 Hard Eights Bet-punter bets that a double 4 is coming up. Win an double-4. lose on ANY other 8 or 7! Payout 9 to 11 Outcomes possible outcomes peyou probability FALVA double- $10 B 0 7 D total possible outcomes 0
