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Best Numbers To Roll In Craps

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Best Numbers To Roll In Craps

Craps Roll Names

Introduction

  • How the Craps Bet Works Craps sees you win when a 2, 3, or 12 is rolled, and you lose with any other number combination. These three numbers combine to offer you four out of 36 dice combinations that'll result in a win, or 8:1 true odds.
  • In a completely random game the chances of any given number on either die being rolled is 1 in 6. The chance of rolling any combination of numbers on the dice is 1 in 36. This '1 in 36' number can mislead you. There are only 11 possible values (2 through 12) that you can roll. '7' is the most frequent die roll combination.

One question I get asked a lot is 'what is the probability of a shooter lasting x rolls in craps?' The following table answers that question for up to 50 rolls. The first column is the roll number. The second column is the probability of a seven-out on exactly that roll. The third column is the probability of surviving PAST that roll.

Beginner craps players, if you can remember only one bet, make it the pass line bet. This is the starting bet for all craps games and has one of the lowest house edges at 1.41% and highest odds of landing (251 to 244 to be exact). This is one of the best bets craps players can make, with payout odds of 1 to 1. If the shooter's come out roll is a 7 or 11, you win even money (1:1). However, if the come out roll is 2,3 or 12 (craps) you lose. If any other number is rolled (4,5,6,8,9 or 10) it's called the point. The shooter continues to throw the dice until he/she roles a 7 or the Point.

Craps Survival Table for 1 to 50 Rolls

Roll
Number
Probability
Seven-Out
Probability
Survival
10.000000001.00000000
20.111111110.88888889
30.116769550.77211934
40.104766800.66735254
50.091223630.57612891
60.078918040.49721087
70.068166760.42904411
80.058852760.37019135
90.050800650.31939070
100.043844140.27554656
110.037836140.23771043
120.032648500.20506193
130.028170020.17689190
140.024304330.15258757
150.020968010.13161956
160.018088860.11353070
170.015604450.09792625
180.013460840.08446541
190.011611380.07285403
200.010015800.06283823
210.008639310.05419892
220.007451870.04674705
230.006427550.04031950
240.005543960.03477554
250.004781800.02999374
260.004124370.02586937
270.003557310.02231206
280.003068190.01924387
290.002646320.01659755
300.002282440.01431511
310.001968580.01234653
320.001697880.01064864
330.001464400.00918424
340.001263030.00792121
350.001089340.00683187
360.000939540.00589234
370.000810330.00508201
380.000698900.00438311
390.000602780.00378033
400.000519890.00326044
410.000448390.00281205
420.000386730.00242532
430.000333540.00209178
440.000287670.00180411
450.000248110.00155600
460.000213990.00134201
470.000184560.00115745
480.000159180.00099827
490.000137290.00086098
500.000118410.00074257

The next table shows the same information, but for up to 200 rolls. The probabilities get very small, so this table is in scientific notation.

Craps Survival Table for 1 to 200 Rolls

Roll
Number
Probability
Seven-Out
Probability
Survival
10.000000E+001.000000E+00
21.111111E-018.888889E-01
31.167695E-017.721193E-01
41.047668E-016.673525E-01
59.122363E-025.761289E-01
67.891804E-024.972109E-01
76.816676E-024.290441E-01
85.885276E-023.701913E-01
95.080065E-023.193907E-01
104.384414E-022.755466E-01
113.783614E-022.377104E-01
123.264850E-022.050619E-01
132.817002E-021.768919E-01
142.430433E-021.525876E-01
152.096801E-021.316196E-01
161.808886E-021.135307E-01
171.560445E-029.792625E-02
181.346084E-028.446541E-02
191.161138E-027.285403E-02
201.001580E-026.283823E-02
218.639309E-035.419892E-02
227.451869E-034.674705E-02
236.427548E-034.031950E-02
245.543963E-033.477554E-02
254.781795E-032.999374E-02
264.124373E-032.586937E-02
273.557310E-032.231206E-02
283.068195E-031.924387E-02
292.646317E-031.659755E-02
302.282437E-031.431511E-02
311.968585E-031.234653E-02
321.697884E-031.064864E-02
331.464404E-039.184241E-03
341.263027E-037.921214E-03
351.089340E-036.831874E-03
369.395362E-045.892338E-03
378.103321E-045.082006E-03
386.988952E-044.383111E-03
396.027824E-043.780328E-03
405.198867E-043.260442E-03
414.483907E-042.812051E-03
423.867267E-042.425324E-03
433.335427E-042.091782E-03
442.876726E-041.804109E-03
452.481107E-041.555998E-03
462.139894E-041.342009E-03
471.845605E-041.157448E-03
481.591789E-049.982695E-04
491.372878E-048.609818E-04
501.184072E-047.425745E-04
511.021232E-046.404513E-04
528.807867E-055.523726E-04
537.596559E-054.764071E-04
546.551837E-054.108887E-04
555.650790E-053.543808E-04
564.873660E-053.056442E-04
574.203405E-052.636101E-04
583.625328E-052.273569E-04
593.126751E-051.960893E-04
602.696741E-051.691219E-04
612.325869E-051.458632E-04
622.006001E-051.258032E-04
631.730124E-051.085020E-04
641.492187E-059.358012E-05
651.286972E-058.071040E-05
661.109980E-056.961061E-05
679.573283E-066.003732E-05
688.256706E-065.178062E-05
697.121193E-064.465942E-05
706.141842E-063.851758E-05
715.297178E-063.322040E-05
724.568677E-062.865173E-05
733.940364E-062.471136E-05
743.398461E-062.131290E-05
752.931083E-061.838182E-05
762.527982E-061.585384E-05
772.180319E-061.367352E-05
781.880468E-061.179305E-05
791.621854E-061.017120E-05
801.398806E-068.772390E-06
811.206434E-067.565956E-06
821.040518E-066.525439E-06
838.974191E-075.628020E-06
847.740004E-074.854019E-06
856.675550E-074.186464E-06
865.757487E-073.610715E-06
874.965681E-073.114147E-06
884.282770E-072.685870E-06
893.693777E-072.316493E-06
903.185785E-071.997914E-06
912.747656E-071.723148E-06
922.369781E-071.486170E-06
932.043874E-071.281783E-06
941.762788E-071.105504E-06
951.520358E-079.534683E-07
961.311269E-078.223414E-07
971.130935E-077.092478E-07
989.754019E-086.117076E-07
998.412586E-085.275818E-07
1007.255634E-084.550254E-07
1016.257794E-083.924475E-07
1025.397183E-083.384757E-07
1034.654929E-082.919264E-07
1044.014754E-082.517788E-07
1053.462620E-082.171526E-07
1062.986419E-081.872885E-07
1072.575708E-081.615314E-07
1082.221480E-081.393166E-07
1091.915969E-081.201569E-07
1101.652473E-081.036322E-07
1111.425214E-088.938002E-08
1121.229210E-087.708792E-08
1131.060161E-086.648631E-08
1149.143612E-095.734269E-08
1157.886126E-094.945657E-08
1166.801576E-094.265499E-08
1175.866181E-093.678881E-08
1185.059427E-093.172938E-08
1194.363623E-092.736576E-08
1203.763510E-092.360225E-08
1213.245929E-092.035632E-08
1222.799529E-091.755679E-08
1232.414520E-091.514227E-08
1242.082460E-091.305981E-08
1251.796067E-091.126375E-08
1261.549061E-099.714685E-09
1271.336024E-098.378661E-09
1281.152286E-097.226375E-09
1299.938163E-106.232559E-09
1308.571405E-105.375419E-09
1317.392611E-104.636157E-09
1326.375933E-103.998564E-09
1335.499075E-103.448657E-09
1344.742808E-102.974376E-09
1354.090547E-102.565321E-09
1363.527990E-102.212522E-09
1373.042799E-101.908242E-09
1382.624334E-101.645809E-09
1392.263419E-101.419467E-09
1401.952140E-101.224253E-09
1411.683669E-101.055886E-09
1421.452120E-109.106740E-10
1431.252416E-107.854324E-10
1441.080176E-106.774148E-10
1459.316232E-115.842525E-10
1468.035006E-115.039024E-10
1476.929981E-114.346026E-10
1485.976927E-113.748334E-10
1495.154943E-113.232839E-10
1504.446003E-112.788239E-10
1513.834561E-112.404783E-10
1523.307208E-112.074062E-10
1532.852380E-111.788824E-10
1542.460103E-111.542814E-10
1552.121774E-111.330637E-10
1561.829975E-111.147639E-10
1571.578305E-119.898086E-11
1581.361247E-118.536839E-11
1591.174039E-117.362800E-11
1601.012578E-116.350222E-11
1618.733222E-125.476899E-11
1627.532174E-124.723682E-11
1636.496303E-124.074052E-11
1645.602891E-123.513763E-11
1654.832346E-123.030528E-11
1664.167772E-122.613751E-11
1673.594594E-122.254292E-11
1683.100243E-121.944267E-11
1692.673878E-121.676880E-11
1702.306150E-121.446265E-11
1711.988993E-121.247365E-11
1721.715455E-121.075820E-11
1731.479535E-129.278663E-12
1741.276060E-128.002603E-12
1751.100568E-126.902035E-12
1769.492110E-135.952824E-12
1778.186696E-135.134155E-12
1787.060810E-134.428074E-12
1796.089764E-133.819097E-12
1805.252261E-133.293871E-12
1814.529938E-132.840877E-12
1823.906952E-132.450182E-12
1833.369644E-132.113218E-12
1842.906229E-131.822595E-12
1852.506546E-131.571940E-12
1862.161831E-131.355757E-12
1871.864522E-131.169305E-12
1881.608101E-131.008495E-12
1891.386945E-138.698004E-13
1901.196204E-137.501800E-13
1911.031694E-136.470106E-13
1928.898094E-145.580296E-13
1937.674372E-144.812859E-13
1946.618945E-144.150965E-13
1955.708666E-143.580098E-13
1964.923575E-143.087741E-13
1974.246454E-142.663095E-13
1983.662455E-142.296850E-13
1993.158771E-141.980973E-13
2002.724357E-141.708537E-13

Best Numbers To Roll In Craps Games

The mean number of rolls per shooter is 8.525510.

How To Roll Craps Dice

Best Numbers To Roll In Craps

Craps Roll Names

Introduction

  • How the Craps Bet Works Craps sees you win when a 2, 3, or 12 is rolled, and you lose with any other number combination. These three numbers combine to offer you four out of 36 dice combinations that'll result in a win, or 8:1 true odds.
  • In a completely random game the chances of any given number on either die being rolled is 1 in 6. The chance of rolling any combination of numbers on the dice is 1 in 36. This '1 in 36' number can mislead you. There are only 11 possible values (2 through 12) that you can roll. '7' is the most frequent die roll combination.

One question I get asked a lot is 'what is the probability of a shooter lasting x rolls in craps?' The following table answers that question for up to 50 rolls. The first column is the roll number. The second column is the probability of a seven-out on exactly that roll. The third column is the probability of surviving PAST that roll.

Beginner craps players, if you can remember only one bet, make it the pass line bet. This is the starting bet for all craps games and has one of the lowest house edges at 1.41% and highest odds of landing (251 to 244 to be exact). This is one of the best bets craps players can make, with payout odds of 1 to 1. If the shooter's come out roll is a 7 or 11, you win even money (1:1). However, if the come out roll is 2,3 or 12 (craps) you lose. If any other number is rolled (4,5,6,8,9 or 10) it's called the point. The shooter continues to throw the dice until he/she roles a 7 or the Point.

Craps Survival Table for 1 to 50 Rolls

Roll
Number
Probability
Seven-Out
Probability
Survival
10.000000001.00000000
20.111111110.88888889
30.116769550.77211934
40.104766800.66735254
50.091223630.57612891
60.078918040.49721087
70.068166760.42904411
80.058852760.37019135
90.050800650.31939070
100.043844140.27554656
110.037836140.23771043
120.032648500.20506193
130.028170020.17689190
140.024304330.15258757
150.020968010.13161956
160.018088860.11353070
170.015604450.09792625
180.013460840.08446541
190.011611380.07285403
200.010015800.06283823
210.008639310.05419892
220.007451870.04674705
230.006427550.04031950
240.005543960.03477554
250.004781800.02999374
260.004124370.02586937
270.003557310.02231206
280.003068190.01924387
290.002646320.01659755
300.002282440.01431511
310.001968580.01234653
320.001697880.01064864
330.001464400.00918424
340.001263030.00792121
350.001089340.00683187
360.000939540.00589234
370.000810330.00508201
380.000698900.00438311
390.000602780.00378033
400.000519890.00326044
410.000448390.00281205
420.000386730.00242532
430.000333540.00209178
440.000287670.00180411
450.000248110.00155600
460.000213990.00134201
470.000184560.00115745
480.000159180.00099827
490.000137290.00086098
500.000118410.00074257

The next table shows the same information, but for up to 200 rolls. The probabilities get very small, so this table is in scientific notation.

Craps Survival Table for 1 to 200 Rolls

Roll
Number
Probability
Seven-Out
Probability
Survival
10.000000E+001.000000E+00
21.111111E-018.888889E-01
31.167695E-017.721193E-01
41.047668E-016.673525E-01
59.122363E-025.761289E-01
67.891804E-024.972109E-01
76.816676E-024.290441E-01
85.885276E-023.701913E-01
95.080065E-023.193907E-01
104.384414E-022.755466E-01
113.783614E-022.377104E-01
123.264850E-022.050619E-01
132.817002E-021.768919E-01
142.430433E-021.525876E-01
152.096801E-021.316196E-01
161.808886E-021.135307E-01
171.560445E-029.792625E-02
181.346084E-028.446541E-02
191.161138E-027.285403E-02
201.001580E-026.283823E-02
218.639309E-035.419892E-02
227.451869E-034.674705E-02
236.427548E-034.031950E-02
245.543963E-033.477554E-02
254.781795E-032.999374E-02
264.124373E-032.586937E-02
273.557310E-032.231206E-02
283.068195E-031.924387E-02
292.646317E-031.659755E-02
302.282437E-031.431511E-02
311.968585E-031.234653E-02
321.697884E-031.064864E-02
331.464404E-039.184241E-03
341.263027E-037.921214E-03
351.089340E-036.831874E-03
369.395362E-045.892338E-03
378.103321E-045.082006E-03
386.988952E-044.383111E-03
396.027824E-043.780328E-03
405.198867E-043.260442E-03
414.483907E-042.812051E-03
423.867267E-042.425324E-03
433.335427E-042.091782E-03
442.876726E-041.804109E-03
452.481107E-041.555998E-03
462.139894E-041.342009E-03
471.845605E-041.157448E-03
481.591789E-049.982695E-04
491.372878E-048.609818E-04
501.184072E-047.425745E-04
511.021232E-046.404513E-04
528.807867E-055.523726E-04
537.596559E-054.764071E-04
546.551837E-054.108887E-04
555.650790E-053.543808E-04
564.873660E-053.056442E-04
574.203405E-052.636101E-04
583.625328E-052.273569E-04
593.126751E-051.960893E-04
602.696741E-051.691219E-04
612.325869E-051.458632E-04
622.006001E-051.258032E-04
631.730124E-051.085020E-04
641.492187E-059.358012E-05
651.286972E-058.071040E-05
661.109980E-056.961061E-05
679.573283E-066.003732E-05
688.256706E-065.178062E-05
697.121193E-064.465942E-05
706.141842E-063.851758E-05
715.297178E-063.322040E-05
724.568677E-062.865173E-05
733.940364E-062.471136E-05
743.398461E-062.131290E-05
752.931083E-061.838182E-05
762.527982E-061.585384E-05
772.180319E-061.367352E-05
781.880468E-061.179305E-05
791.621854E-061.017120E-05
801.398806E-068.772390E-06
811.206434E-067.565956E-06
821.040518E-066.525439E-06
838.974191E-075.628020E-06
847.740004E-074.854019E-06
856.675550E-074.186464E-06
865.757487E-073.610715E-06
874.965681E-073.114147E-06
884.282770E-072.685870E-06
893.693777E-072.316493E-06
903.185785E-071.997914E-06
912.747656E-071.723148E-06
922.369781E-071.486170E-06
932.043874E-071.281783E-06
941.762788E-071.105504E-06
951.520358E-079.534683E-07
961.311269E-078.223414E-07
971.130935E-077.092478E-07
989.754019E-086.117076E-07
998.412586E-085.275818E-07
1007.255634E-084.550254E-07
1016.257794E-083.924475E-07
1025.397183E-083.384757E-07
1034.654929E-082.919264E-07
1044.014754E-082.517788E-07
1053.462620E-082.171526E-07
1062.986419E-081.872885E-07
1072.575708E-081.615314E-07
1082.221480E-081.393166E-07
1091.915969E-081.201569E-07
1101.652473E-081.036322E-07
1111.425214E-088.938002E-08
1121.229210E-087.708792E-08
1131.060161E-086.648631E-08
1149.143612E-095.734269E-08
1157.886126E-094.945657E-08
1166.801576E-094.265499E-08
1175.866181E-093.678881E-08
1185.059427E-093.172938E-08
1194.363623E-092.736576E-08
1203.763510E-092.360225E-08
1213.245929E-092.035632E-08
1222.799529E-091.755679E-08
1232.414520E-091.514227E-08
1242.082460E-091.305981E-08
1251.796067E-091.126375E-08
1261.549061E-099.714685E-09
1271.336024E-098.378661E-09
1281.152286E-097.226375E-09
1299.938163E-106.232559E-09
1308.571405E-105.375419E-09
1317.392611E-104.636157E-09
1326.375933E-103.998564E-09
1335.499075E-103.448657E-09
1344.742808E-102.974376E-09
1354.090547E-102.565321E-09
1363.527990E-102.212522E-09
1373.042799E-101.908242E-09
1382.624334E-101.645809E-09
1392.263419E-101.419467E-09
1401.952140E-101.224253E-09
1411.683669E-101.055886E-09
1421.452120E-109.106740E-10
1431.252416E-107.854324E-10
1441.080176E-106.774148E-10
1459.316232E-115.842525E-10
1468.035006E-115.039024E-10
1476.929981E-114.346026E-10
1485.976927E-113.748334E-10
1495.154943E-113.232839E-10
1504.446003E-112.788239E-10
1513.834561E-112.404783E-10
1523.307208E-112.074062E-10
1532.852380E-111.788824E-10
1542.460103E-111.542814E-10
1552.121774E-111.330637E-10
1561.829975E-111.147639E-10
1571.578305E-119.898086E-11
1581.361247E-118.536839E-11
1591.174039E-117.362800E-11
1601.012578E-116.350222E-11
1618.733222E-125.476899E-11
1627.532174E-124.723682E-11
1636.496303E-124.074052E-11
1645.602891E-123.513763E-11
1654.832346E-123.030528E-11
1664.167772E-122.613751E-11
1673.594594E-122.254292E-11
1683.100243E-121.944267E-11
1692.673878E-121.676880E-11
1702.306150E-121.446265E-11
1711.988993E-121.247365E-11
1721.715455E-121.075820E-11
1731.479535E-129.278663E-12
1741.276060E-128.002603E-12
1751.100568E-126.902035E-12
1769.492110E-135.952824E-12
1778.186696E-135.134155E-12
1787.060810E-134.428074E-12
1796.089764E-133.819097E-12
1805.252261E-133.293871E-12
1814.529938E-132.840877E-12
1823.906952E-132.450182E-12
1833.369644E-132.113218E-12
1842.906229E-131.822595E-12
1852.506546E-131.571940E-12
1862.161831E-131.355757E-12
1871.864522E-131.169305E-12
1881.608101E-131.008495E-12
1891.386945E-138.698004E-13
1901.196204E-137.501800E-13
1911.031694E-136.470106E-13
1928.898094E-145.580296E-13
1937.674372E-144.812859E-13
1946.618945E-144.150965E-13
1955.708666E-143.580098E-13
1964.923575E-143.087741E-13
1974.246454E-142.663095E-13
1983.662455E-142.296850E-13
1993.158771E-141.980973E-13
2002.724357E-141.708537E-13

Best Numbers To Roll In Craps Games

The mean number of rolls per shooter is 8.525510.

How To Roll Craps Dice

For how I solved this problem, please see my MathProblems.info site, problem 204.

Best Numbers To Roll In Craps Dice Game


Longest Craps Roll

Written by: Michael Shackleford



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