Probability   Event

    0.214286   4 before 6 or 7 in continuous rolling
    0.357143   6 before 4 or 7 in continuous rolling
    0.428571   7 before 4 or 6 in continuous rolling


    0.333333   4 before 7 in continuous rolling
    0.666667   7 before 4 in continuous rolling

    0.454545   6 before 7 in continuous rolling
    0.545455   7 before 6 in continuous rolling


    0.083333   4 single roll
    0.138889   6 single roll
    0.166667   7 single roll
    0.750000   not 7 or 4 single roll
    0.694444   not 7 or 6 single roll
    0.833333   not 7 single roll

Place bets: Independently bet $5 on the 4 and $5 on the 6

 Probability   Event

    0.151515   both win
    0.181818   4 wins 6 loses 
    0.303030   6 wins 4 loses 
    0.363636   both lose 
    1.000000

Expected payoff on the $10 bet is $9.59091
Sdev of payoff on the $10 bet is $8.52369

Place bets: Simultanously bet $5 on the 4 and $5 on the 6

 Probability   Event

    0.097403   first 4 wins then 6 wins 
    0.119048   first 6 wins then 4 wins 
    0.116883   first 4 wins then 6 loses 
    0.238095   first 6 wins then 4 loses 
    0.428571   both lose simultaneously 
    1.000000

Expected payoff on the $10 bet is $9.59091
Sdev of payoff on the $10 bet is $9.60991
Corr of payoff on the $10 bet is 0.475514

Place bets: First bet $5 on the 4 then bet $5 on the 6 after 1 rolls

 Probability   Event

    0.110931   first 4 wins then 6 wins 
    0.089286   first 6 wins then 4 wins 
    0.133117   first 4 wins then 6 loses 
    0.254329   first 6 wins then 4 loses 
    0.412338   simultaneous loss or 4 loses then 6 loses 
    1.000000

Expected payoff on the $10 bet is $9.59091
Sdev of payoff on the $10 bet is $9.35019
Corr of payoff on the $10 bet is 0.455501

Place bets: First bet $5 on the 4 then bet $5 on the 6 after 5 rolls

 Probability   Event

    0.138674   first 4 wins then 6 wins 
    0.028251   first 6 wins then 4 wins 
    0.166409   first 4 wins then 6 loses 
    0.287621   first 6 wins then 4 loses 
    0.379046   simultaneous loss or 4 loses then 6 loses 
    1.000000

Expected payoff on the $10 bet is $9.59091
Sdev of payoff on the $10 bet is $8.79361
Corr of payoff on the $10 bet is 0.256219

Place bets: First bet $5 on the 4 then bet $5 on the 6 after 25 rolls

 Probability   Event

    0.151474   first 4 wins then 6 wins 
    0.000090   first 6 wins then 4 wins 
    0.181769   first 4 wins then 6 loses 
    0.302981   first 6 wins then 4 loses 
    0.363685   simultaneous loss or 4 loses then 6 loses 
    1.000000

Expected payoff on the $10 bet is $9.59091
Sdev of payoff on the $10 bet is $8.52456
Corr of payoff on the $10 bet is 0.0144286