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Simulation Results of n-Play Video Poker

Introduction

The following table shows the results of eight simulations, for the gross win over all hands for 3-play to 100-play video poker, for 9-6 Jacks or Better.

Simulation Results of n-Play Video — 9/6 Jacks or Better

Win 3-play 5-play 10-play 15-play 25-play 50-play 75-play 100-play
80000 0 0 0 0 0 0 0 18
60000 0 0 0 0 0 0 18 0
40000 0 0 0 0 0 36 0 0
20000 0 0 0 0 72 0 0 0
12000 0 0 0 108 0 0 0 0
8912 0 0 0 0 0 0 0 1
8000 0 0 180 0 0 0 0 0
7423 0 0 0 0 0 0 0 1
7311 0 0 0 0 0 0 0 1
7302 0 0 0 0 0 0 0 1
7265 0 0 0 0 0 0 1 0
6685 0 0 0 0 0 0 0 1
6668 0 0 0 0 0 0 0 1
6551 0 0 0 0 0 0 0 1
6545 0 0 0 0 0 0 0 1
6540 0 0 0 0 0 0 0 1
6527 0 0 0 0 0 0 0 1
6514 0 0 0 0 0 0 0 2
6500 0 0 0 0 0 0 1 0
6490 0 0 0 0 0 0 1 0
6484 0 0 0 0 0 0 1 0
5961 0 0 0 0 0 0 0 1
5875 0 0 0 0 0 0 0 1
5874 0 0 0 0 0 0 0 1
5856 0 0 0 0 0 0 1 0
5850 0 0 0 0 0 0 0 1
5828 0 0 0 0 0 0 0 1
5821 0 0 0 0 0 0 0 1
5816 0 0 0 0 0 0 0 1
5812 0 0 0 0 0 0 0 1
5795 0 0 0 0 0 0 0 1
5770 0 0 0 0 0 0 0 1
5763 0 0 0 0 0 0 0 1
5757 0 0 0 0 0 0 0 1
5747 0 0 0 0 0 0 0 1
5741 0 0 0 0 0 0 0 1
5739 0 0 0 0 0 0 0 1
5738 0 0 0 0 0 0 0 1
5736 0 0 0 0 0 0 0 1
5735 0 0 0 0 0 0 0 1
5732 0 0 0 0 0 0 1 0
5731 0 0 0 0 0 0 0 1
5729 0 0 0 0 0 0 0 1
5725 0 0 0 0 0 0 1 0
5720 0 0 0 0 0 0 0 1
5717 0 0 0 0 0 0 0 1
5715 0 0 0 0 0 0 0 1
5713 0 0 0 0 0 0 0 1
5712 0 0 0 0 0 0 0 1
5710 0 0 0 0 0 0 0 1
5709 0 0 0 0 0 0 0 1
5707 0 0 0 0 0 0 1 0
5694 0 0 0 0 0 0 1 0
5686 0 0 0 0 0 0 1 0
5682 0 0 0 0 0 0 1 0
5679 0 0 0 0 0 0 1 0
5676 0 0 0 0 0 1 0 0
5653 0 0 0 0 0 1 0 0
5188 0 0 0 0 0 0 0 1
5093 0 0 0 0 0 0 0 1
5060 0 0 0 0 0 0 0 1
5050 0 0 0 0 0 0 0 2
5049 0 0 0 0 0 0 0 1
5032 0 0 0 0 0 0 0 1
5031 0 0 0 0 0 0 0 1
5018 0 0 0 0 0 0 0 1
5013 0 0 0 0 0 0 0 1
5008 0 0 0 0 0 0 0 1
5000 0 0 0 0 0 0 0 209
4993 0 0 0 0 0 0 0 1
4992 0 0 0 0 0 0 0 1
4981 0 0 0 0 0 0 0 1
4977 0 0 0 0 0 0 1 0
4975 0 0 0 0 0 0 0 1
4974 0 0 0 0 0 0 0 1
4972 0 0 0 0 0 0 0 1
4970 0 0 0 0 0 0 1 2
4969 0 0 0 0 0 0 0 1
4968 0 0 0 0 0 0 0 1
4966 0 0 0 0 0 0 0 1
4965 0 0 0 0 0 0 0 1
4963 0 0 0 0 0 0 1 0
4960 0 0 0 0 0 0 0 1
4958 0 0 0 0 0 0 0 1
4955 0 0 0 0 0 0 0 2
4952 0 0 0 0 0 0 0 2
4951 0 0 0 0 0 0 1 2
4948 0 0 0 0 0 0 0 3
4947 0 0 0 0 0 0 0 3
4942 0 0 0 0 0 0 0 2
4941 0 0 0 0 0 0 0 1
4940 0 0 0 0 0 1 0 1
4939 0 0 0 0 0 0 0 2
4938 0 0 0 0 0 0 0 2
4937 0 0 0 0 0 0 0 1
4936 0 0 0 0 0 0 0 1
4935 0 0 0 0 0 0 1 3
4934 0 0 0 0 0 0 0 2
4932 0 0 0 0 0 0 0 1
4929 0 0 0 0 0 0 0 1
4927 0 0 0 0 0 0 1 0
4926 0 0 0 0 0 0 0 2
4925 0 0 0 0 0 0 1 2
4924 0 0 0 0 0 0 0 1
4923 0 0 0 0 0 0 0 1
4921 0 0 0 0 0 0 1 2
4920 0 0 0 0 0 0 0 1
4919 0 0 0 0 0 0 0 1
4918 0 0 0 0 0 0 1 1
4916 0 0 0 0 0 0 0 3
4915 0 0 0 0 0 0 1 0
4914 0 0 0 0 0 0 0 2
4909 0 0 0 0 0 0 0 1
4906 0 0 0 0 0 0 0 1
4904 0 0 0 0 0 1 2 1
4903 0 0 0 0 0 0 0 1
4902 0 0 0 0 0 0 0 1
4899 0 0 0 0 0 0 1 1
4894 0 0 0 0 0 0 1 0
4892 0 0 0 0 0 0 1 0
4890 0 0 0 0 0 0 1 0
4889 0 0 0 0 0 0 2 0
4884 0 0 0 0 0 1 0 0
4880 0 0 0 0 0 0 1 0
4877 0 0 0 0 0 0 1 0
4876 0 0 0 0 0 1 0 0
4872 0 0 0 0 0 1 0 0
4870 0 0 0 0 0 0 1 0
4862 0 0 0 0 0 1 0 0
4857 0 0 0 0 0 2 0 0
4848 0 0 0 0 0 1 0 0
4839 0 0 0 0 0 1 0 0
4367 0 0 0 0 0 0 0 1
4341 0 0 0 0 0 0 0 1
4327 0 0 0 0 0 0 0 1
4322 0 0 0 0 0 0 0 1
4319 0 0 0 0 0 0 0 1
4304 0 0 0 0 0 0 0 1
4299 0 0 0 0 0 0 0 1
4298 0 0 0 0 0 0 0 1
4296 0 0 0 0 0 0 0 1
4294 0 0 0 0 0 0 0 1
4291 0 0 0 0 0 0 0 1
4290 0 0 0 0 0 0 0 1
4284 0 0 0 0 0 0 0 2
4283 0 0 0 0 0 0 0 1
4278 0 0 0 0 0 0 0 1
4273 0 0 0 0 0 0 0 1
4269 0 0 0 0 0 0 1 0
4258 0 0 0 0 0 0 0 1
4257 0 0 0 0 0 0 1 0
4254 0 0 0 0 0 0 1 0
4249 0 0 0 0 0 0 0 1
4245 0 0 0 0 0 0 0 1
4239 0 0 0 0 0 0 0 2
4237 0 0 0 0 0 0 0 1
4228 0 0 0 0 0 0 0 1
4226 0 0 0 0 0 0 0 1
4221 0 0 0 0 0 0 0 1
4216 0 0 0 0 0 0 1 0
4214 0 0 0 0 0 0 0 2
4212 0 0 0 0 0 0 1 2
4211 0 0 0 0 0 0 1 1
4210 0 0 0 0 0 0 0 1
4202 0 0 0 0 0 0 1 0
4201 0 0 0 0 0 0 1 0
4198 0 0 0 0 0 0 1 0
4193 0 0 0 0 0 0 0 1
4192 0 0 0 0 0 0 0 1
4189 0 0 0 0 0 0 1 1
4185 0 0 0 0 0 0 0 2
4184 0 0 0 0 0 0 0 2
4183 0 0 0 0 0 0 0 1
4182 0 0 0 0 0 0 0 1
4181 0 0 0 0 0 0 0 1
4178 0 0 0 0 0 0 0 5
4177 0 0 0 0 0 0 0 2
4176 0 0 0 0 0 0 0 1
4174 0 0 0 0 0 0 0 1
4172 0 0 0 0 0 0 0 3
4171 0 0 0 0 0 0 0 3
4170 0 0 0 0 0 0 0 2
4169 0 0 0 0 0 0 0 2
4168 0 0 0 0 0 0 0 1
4167 0 0 0 0 0 0 0 2
4166 0 0 0 0 0 0 0 3
4165 0 0 0 0 0 0 0 1
4163 0 0 0 0 0 0 0 1
4162 0 0 0 0 0 0 0 2
4161 0 0 0 0 0 0 0 1
4160 0 0 0 0 0 0 0 2
4159 0 0 0 0 0 1 0 2
4157 0 0 0 0 0 0 0 2
4156 0 0 0 0 0 0 0 5
4155 0 0 0 0 0 0 1 0
4154 0 0 0 0 0 0 0 4
4153 0 0 0 0 0 0 0 1
4152 0 0 0 0 0 1 0 4
4151 0 0 0 0 0 0 1 4
4150 0 0 0 0 0 0 1 1
4149 0 0 0 0 0 0 1 6
4148 0 0 0 0 0 0 0 2
4147 0 0 0 0 0 0 0 5
4146 0 0 0 0 0 0 0 3
4145 0 0 0 0 0 0 0 5
4144 0 0 0 0 0 0 0 3
4143 0 0 0 0 0 1 0 3
4142 0 0 0 0 0 0 0 2
4141 0 0 0 0 0 0 1 2
4140 0 0 0 0 0 0 0 2
4139 0 0 0 0 0 0 0 3
4138 0 0 0 0 0 0 0 2
4137 0 0 0 0 0 0 1 4
4136 0 0 0 0 0 0 0 2
4134 0 0 0 0 0 0 1 5
4133 0 0 0 0 0 0 1 6
4132 0 0 0 0 0 0 0 2
4131 0 0 0 0 0 0 2 6
4130 0 0 0 0 0 1 1 2
4129 0 0 0 0 0 0 2 2
4128 0 0 0 0 0 0 1 1
4127 0 0 0 0 0 0 0 2
4126 0 0 0 0 0 0 0 2
4125 0 0 0 0 0 0 3 2
4124 0 0 0 0 0 0 2 2
4123 0 0 0 0 0 0 0 2
4122 0 0 0 0 0 0 2 3
4121 0 0 0 0 0 0 1 3
4120 0 0 0 0 0 0 2 6
4119 0 0 0 0 0 0 3 6
4118 0 0 0 0 0 0 0 4
4117 0 0 0 0 0 0 4 3
4116 0 0 0 0 0 0 1 2
4115 0 0 0 0 0 0 1 3
4114 0 0 0 0 0 0 0 2
4113 0 0 0 0 0 0 1 3
4112 0 0 0 0 0 0 1 3
4111 0 0 0 0 0 0 1 2
4109 0 0 0 0 0 0 1 3
4108 0 0 0 0 0 1 0 1
4107 0 0 0 0 0 0 3 1
4106 0 0 0 0 0 0 2 3
4105 0 0 0 0 0 0 4 0
4104 0 0 0 0 0 0 2 1
4103 0 0 0 0 0 0 0 1
4102 0 0 0 0 0 0 1 2
4101 0 0 0 0 0 0 1 3
4099 0 0 0 0 0 0 1 2
4098 0 0 0 0 0 1 3 0
4097 0 0 0 0 0 0 3 0
4096 0 0 0 0 0 1 1 2
4095 0 0 0 0 0 2 0 1
4093 0 0 0 0 0 1 0 0
4092 0 0 0 0 0 0 1 0
4091 0 0 0 0 0 1 1 0
4090 0 0 0 0 0 0 1 0
4089 0 0 0 0 0 0 2 0
4088 0 0 0 0 0 0 3 0
4087 0 0 0 0 0 1 4 0
4086 0 0 0 0 1 1 1 0
4084 0 0 0 0 0 1 0 0
4083 0 0 0 0 0 2 2 0
4081 0 0 0 0 0 2 1 0
4080 0 0 0 0 0 0 1 0
4078 0 0 0 0 0 1 1 0
4077 0 0 0 0 0 1 0 0
4076 0 0 0 0 0 1 1 0
4075 0 0 0 0 0 1 0 0
4074 0 0 0 0 0 2 2 0
4073 0 0 0 0 0 0 1 0
4072 0 0 0 0 0 1 0 0
4071 0 0 0 0 0 1 0 0
4069 0 0 0 0 0 1 2 0
4067 0 0 0 0 0 0 1 0
4066 0 0 0 0 0 3 0 0
4065 0 0 0 0 0 3 0 0
4064 0 0 0 0 0 1 0 0
4063 0 0 0 0 0 1 0 0
4062 0 0 0 0 0 1 0 0
4061 0 0 0 0 0 3 0 0
4060 0 0 0 0 0 2 0 0
4058 0 0 0 0 0 3 0 0
4057 0 0 0 0 0 1 0 0
4053 0 0 0 0 0 1 0 0
4051 0 0 0 0 0 1 0 0
4048 0 0 0 0 0 1 0 0
4046 0 0 0 0 0 1 0 0
4045 0 0 0 0 0 1 0 0
4044 0 0 0 0 0 1 0 0
4043 0 0 0 0 1 1 0 0
4042 0 0 0 0 0 1 0 0
4041 0 0 0 0 1 2 0 0
4040 0 0 0 0 1 0 0 0
4039 0 0 0 0 0 1 0 0
4038 0 0 0 0 1 0 0 0
4033 0 0 0 0 0 1 0 0
4014 0 0 0 0 1 0 0 0
4006 0 0 0 1 0 0 0 0
4000 0 360 0 0 0 0 0 0
3750 0 0 0 0 0 0 209 0
3713 0 0 0 0 0 0 0 1
3684 0 0 0 0 0 0 1 0
3677 0 0 0 0 0 0 0 1
3660 0 0 0 0 0 0 0 1
3659 0 0 0 0 0 0 0 1
3634 0 0 0 0 0 0 0 1
3621 0 0 0 0 0 0 0 1
3572 0 0 0 0 0 0 0 1
3561 0 0 0 0 0 0 0 1
3555 0 0 0 0 0 0 0 1
3548 0 0 0 0 0 0 0 1
3545 0 0 0 0 0 0 0 1
3540 0 0 0 0 0 0 0 1
3538 0 0 0 0 0 0 0 1
3536 0 0 0 0 0 0 0 1
3532 0 0 0 0 0 0 0 1
3531 0 0 0 0 0 0 0 1
3529 0 0 0 0 0 0 0 1
3521 0 0 0 0 0 0 0 1
3520 0 0 0 0 0 0 0 1
3515 0 0 0 0 0 0 0 1
3514 0 0 0 0 0 0 0 1
3511 0 0 0 0 0 0 0 1
3510 0 0 0 0 0 0 1 0
3509 0 0 0 0 0 0 0 2
3508 0 0 0 0 0 0 0 1
3507 0 0 0 0 0 0 0 1
3506 0 0 0 0 0 0 0 2
3502 0 0 0 0 0 0 0 1
3500 0 0 0 0 0 0 0 1
3499 0 0 0 0 0 0 0 2
3495 0 0 0 0 0 0 0 1
3493 0 0 0 0 0 0 0 1
3490 0 0 0 0 0 0 0 2
3487 0 0 0 0 0 0 0 1
3486 0 0 0 0 0 0 1 0
3485 0 0 0 0 0 0 0 1
3477 0 0 0 0 0 0 0 1
3476 0 0 0 0 0 0 0 1
3475 0 0 0 0 0 0 1 0
3474 0 0 0 0 0 0 0 2
3473 0 0 0 0 0 0 1 2
3472 0 0 0 0 0 0 1 1
3469 0 0 0 0 0 0 0 1
3468 0 0 0 0 0 0 1 0
3467 0 0 0 0 0 0 0 3
3466 0 0 0 0 0 0 0 1
3465 0 0 0 0 0 0 0 1
3464 0 0 0 0 0 0 0 2
3463 0 0 0 0 0 0 0 3
3461 0 0 0 0 0 0 0 2
3460 0 0 0 0 0 0 1 0
3459 0 0 0 0 0 0 1 0
3454 0 0 0 0 0 0 1 1
3452 0 0 0 0 0 0 0 1
3451 0 0 0 0 0 0 0 1
3450 0 0 0 0 0 0 1 1
3447 0 0 0 0 0 0 0 2
3446 0 0 0 0 0 0 0 1
3445 0 0 0 0 0 0 1 0
3443 0 0 0 0 0 0 0 2
3442 0 0 0 0 0 0 0 2
3441 0 0 0 0 0 0 0 3
3439 0 0 0 0 0 0 1 3
3438 0 0 0 0 0 0 1 2
3437 0 0 0 0 0 0 1 1
3432 0 0 0 0 0 0 1 0
3430 0 0 0 0 0 0 0 1
3428 0 0 0 0 0 0 0 1
3427 0 0 0 0 0 0 0 1
3425 0 0 0 0 0 0 0 1
3423 0 0 0 0 0 0 1 0
3419 0 0 0 0 0 0 0 1
3418 0 0 0 0 0 0 0 1
3417 0 0 0 0 0 0 0 1
3416 0 0 0 0 0 0 1 0
3414 0 0 0 0 0 0 0 2
3413 0 0 0 0 0 0 0 1
3412 0 0 0 0 0 0 0 2
3411 0 0 0 0 0 0 3 2
3410 0 0 0 0 0 0 0 2
3409 0 0 0 0 0 0 1 1
3408 0 0 0 0 0 0 0 1
3406 0 0 0 0 0 0 0 2
3405 0 0 0 0 0 0 1 0
3404 0 0 0 0 0 0 0 2
3402 0 0 0 0 0 0 1 1
3401 0 0 0 0 0 0 0 1
3399 0 0 0 0 0 0 1 1
3398 0 0 0 0 0 1 1 0
3397 0 0 0 0 0 0 0 2
3396 0 0 0 0 0 0 1 0
3395 0 0 0 0 0 0 0 1
3394 0 0 0 0 0 0 1 4
3393 0 0 0 0 0 0 0 3
3392 0 0 0 0 0 0 0 1
3391 0 0 0 0 0 0 2 2
3390 0 0 0 0 0 0 0 1
3389 0 0 0 0 0 1 0 3
3388 0 0 0 0 0 0 0 3
3387 0 0 0 0 0 0 1 0
3386 0 0 0 0 0 1 0 2
3385 0 0 0 0 0 0 2 4
3384 0 0 0 0 0 0 0 6
3383 0 0 0 0 0 1 1 3
3382 0 0 0 0 0 0 0 1
3381 0 0 0 0 0 0 1 3
3380 0 0 0 0 0 0 0 3
3379 0 0 0 0 0 0 1 3
3378 0 0 0 0 0 0 0 2
3377 0 0 0 0 0 0 0 1
3376 0 0 0 0 0 1 0 2
3375 0 0 0 0 0 0 0 3
3374 0 0 0 0 0 1 0 2
3373 0 0 0 0 0 1 0 6
3372 0 0 0 0 0 1 0 0
3371 0 0 0 0 0 1 0 1
3370 0 0 0 0 0 0 0 2
3369 0 0 0 0 0 0 0 1
3368 0 0 0 0 0 0 0 5
3367 0 0 0 0 0 1 0 5
3366 0 0 0 0 0 1 1 5
3365 0 0 0 0 0 0 2 3
3364 0 0 0 0 0 0 0 4
3363 0 0 0 0 0 1 1 6
3362 0 0 0 0 0 0 2 12
3361 0 0 0 0 0 0 0 1
3360 0 0 0 0 0 1 0 16
3359 0 0 0 0 0 0 0 6
3358 0 0 0 0 0 1 0 10
3357 0 0 0 0 0 0 0 4
3356 0 0 0 0 0 0 0 5
3355 0 0 0 0 0 0 1 8
3354 0 0 0 0 0 0 0 10
3353 0 0 0 0 0 1 0 8
3352 0 0 0 0 0 0 1 8
3351 0 0 0 0 0 0 0 7
3350 0 0 0 0 0 0 2 8
3349 0 0 0 0 0 0 2 11
3348 0 0 0 0 0 0 1 12
3347 0 0 0 0 0 0 2 7
3346 0 0 0 0 0 0 0 5
3345 0 0 0 0 0 0 0 3
3344 0 0 0 0 0 0 0 3
3343 0 0 0 0 0 0 0 6
3342 0 0 0 0 0 0 0 9
3341 0 0 0 0 0 0 1 12
3340 0 0 0 0 0 0 4 4
3339 0 0 0 0 0 0 2 7
3338 0 0 0 0 0 0 2 9
3337 0 0 0 0 0 0 1 12
3336 0 0 0 0 0 0 1 7
3335 0 0 0 0 0 1 3 15
3334 0 0 0 0 0 0 2 14
3333 0 0 0 0 0 0 1 9
3332 0 0 0 0 0 1 1 5
3331 0 0 0 0 0 1 2 7
3330 0 0 0 0 0 1 3 11
3329 0 0 0 0 0 0 2 5
3328 0 0 0 0 0 0 2 6
3327 0 0 0 0 0 0 5 5
3326 0 0 0 0 0 1 2 10
3325 0 0 0 0 0 0 4 8
3324 0 0 0 0 0 1 4 10
3323 0 0 0 0 1 0 3 7
3322 0 0 0 0 0 0 2 7
3321 0 0 0 0 0 0 7 7
3320 0 0 0 0 0 1 3 1
3319 0 0 0 0 0 1 1 4
3318 0 0 0 0 0 1 5 2
3317 0 0 0 0 0 0 4 5
3316 0 0 0 0 0 0 3 3
3315 0 0 0 0 0 0 9 3
3314 0 0 0 0 0 0 4 7
3313 0 0 0 0 0 1 1 5
3312 0 0 0 0 0 0 2 1
3311 0 0 0 0 0 0 3 2
3310 0 0 0 0 0 0 5 0
3309 0 0 0 0 0 1 6 1
3308 0 0 0 0 0 0 11 3
3307 0 0 0 0 0 0 5 1
3306 0 0 0 0 0 2 7 1
3305 0 0 0 0 0 0 8 2
3304 0 0 0 0 0 0 4 1
3303 0 0 0 0 0 1 6 3
3302 0 0 0 0 0 1 6 0
3301 0 0 0 0 0 1 9 2
3300 0 0 0 0 0 0 5 0
3299 0 0 0 0 0 0 6 1
3298 0 0 0 0 0 0 3 2
3297 0 0 0 0 0 1 6 2
3296 0 0 0 0 0 1 4 0
3295 0 0 0 0 0 1 3 0
3294 0 0 0 0 0 2 6 1
3293 0 0 0 0 0 2 7 1
3292 0 0 0 0 0 2 2 0
3291 0 0 0 0 0 0 5 0
3290 0 0 0 0 0 1 0 0
3289 0 0 0 0 0 1 5 1
3288 0 0 0 0 0 2 1 0
3287 0 0 0 0 0 1 4 0
3286 0 0 0 0 1 3 7 0
3285 0 0 0 0 0 3 5 0
3284 0 0 0 0 0 0 2 0
3283 0 0 0 0 0 2 4 0
3282 0 0 0 0 0 3 1 0
3281 0 0 0 0 0 1 3 0
3280 0 0 0 0 0 2 0 0
3279 0 0 0 0 0 4 1 1
3278 0 0 0 0 0 8 3 0
3277 0 0 0 0 0 5 5 0
3276 0 0 0 0 0 6 2 0
3275 0 0 0 0 0 4 1 1
3274 0 0 0 0 0 1 2 0
3273 0 0 0 0 0 5 1 0
3272 0 0 0 0 0 6 0 0
3271 0 0 0 0 0 7 0 0
3270 0 0 0 0 0 4 1 0
3269 0 0 0 0 0 6 1 0
3268 0 0 0 0 1 2 0 0
3267 0 0 0 0 0 6 0 0
3266 0 0 0 0 0 4 1 0
3265 0 0 0 1 0 7 1 0
3264 0 0 0 0 0 1 0 0
3263 0 0 0 1 0 5 0 0
3262 0 0 0 0 0 3 0 0
3261 0 0 0 0 0 3 0 0
3260 0 0 0 0 0 1 0 1
3259 0 0 0 0 0 3 0 0
3258 0 0 0 0 0 3 0 0
3257 0 0 0 0 0 2 0 0
3256 0 0 0 0 0 5 0 0
3255 0 0 0 0 0 5 0 0
3254 0 0 0 0 1 1 0 0
3253 0 0 0 0 0 5 0 0
3252 0 0 0 0 0 2 0 0
3251 0 0 0 0 0 3 0 0
3250 0 0 0 0 0 2 0 0
3249 0 0 0 0 1 2 0 0
3248 0 0 0 0 1 4 0 0
3247 0 0 0 0 1 0 0 0
3246 0 0 0 0 0 1 0 0
3245 0 0 0 0 2 0 0 0
3243 0 0 0 0 2 2 0 0
3241 0 0 0 0 0 1 1 0
3240 0 0 0 0 1 0 0 0
3239 0 0 0 0 0 2 0 0
3238 0 0 0 0 0 2 0 0
3237 0 0 0 0 1 1 0 0
3236 0 0 0 0 1 0 0 0
3235 0 0 0 0 1 0 0 0
3234 0 0 0 0 2 0 0 0
3233 0 0 0 0 1 0 0 0
3232 0 0 0 0 1 1 0 0
3231 0 0 0 0 2 0 0 0
3230 0 0 0 0 1 0 0 0
3229 0 0 0 0 1 0 0 0
3228 0 0 0 0 2 0 0 0
3227 0 0 0 0 1 0 0 0
3226 0 0 0 1 2 0 0 0
3225 0 0 0 1 2 0 0 0
3224 0 0 0 0 2 0 0 0
3223 0 0 0 0 1 0 0 0
3221 0 0 0 0 1 0 0 0
3220 0 0 0 1 0 0 0 0
3219 0 0 1 1 0 0 0 0
3218 0 0 0 0 3 0 0 0
3216 0 0 0 1 0 0 0 0
3214 0 0 1 1 0 0 0 0
3207 0 0 0 1 0 0 0 0
2910 0 0 0 0 0 0 0 1
2885 0 0 0 0 0 0 0 1
2851 0 0 0 0 0 0 0 1
2847 0 0 0 0 0 0 0 1
2822 0 0 0 0 0 0 0 1
2820 0 0 0 0 0 0 0 1
2819 0 0 0 0 0 0 0 1
2815 0 0 0 0 0 0 0 1
2808 0 0 0 0 0 0 0 1
2800 0 0 0 0 0 0 0 1
2791 0 0 0 0 0 0 0 1
2790 0 0 0 0 0 0 0 1
2789 0 0 0 0 0 0 1 1
2779 0 0 0 0 0 0 0 2
2778 0 0 0 0 0 0 0 1
2775 0 0 0 0 0 0 0 1
2774 0 0 0 0 0 0 0 1
2773 0 0 0 0 0 0 2 0
2769 0 0 0 0 0 0 0 1
2767 0 0 0 0 0 0 1 0
2764 0 0 0 0 0 0 1 0
2760 0 0 0 0 0 0 0 2
2752 0 0 0 0 0 0 0 1
2750 0 0 0 0 0 0 0 1
2748 0 0 0 0 0 0 0 1
2747 0 0 0 0 0 0 0 1
2742 0 0 0 0 0 0 0 1
2739 0 0 0 0 0 0 0 1
2735 0 0 0 0 0 0 0 1
2733 0 0 0 0 0 0 0 1
2731 0 0 0 0 0 0 0 1
2730 0 0 0 0 0 0 0 1
2728 0 0 0 0 0 0 0 1
2727 0 0 0 0 0 0 0 1
2726 0 0 0 0 0 0 0 1
2725 0 0 0 0 0 0 0 2
2724 0 0 0 0 0 0 0 2
2723 0 0 0 0 0 0 1 2
2722 0 0 0 0 0 0 1 0
2721 0 0 0 0 0 0 0 3
2719 0 0 0 0 0 1 0 1
2718 0 0 0 0 0 0 0 1
2717 0 0 0 0 0 0 0 2
2716 0 0 0 0 0 0 0 1
2714 0 0 0 0 0 0 0 1
2713 0 0 0 0 0 0 0 1
2712 0 0 0 0 0 0 0 1
2711 0 0 0 0 0 0 0 1
2709 0 0 0 0 0 0 0 1
2708 0 0 0 0 0 0 0 1
2706 0 0 0 0 0 0 0 1
2705 0 0 0 0 0 0 0 1
2704 0 0 0 0 0 0 1 0
2703 0 0 0 0 0 0 0 1
2702 0 0 0 0 0 0 0 1
2700 0 0 0 0 0 0 0 1
2699 0 0 0 0 0 0 0 2
2697 0 0 0 0 0 0 0 2
2695 0 0 0 0 0 0 0 1
2694 0 0 0 0 0 0 0 1
2693 0 0 0 0 0 0 0 1
2691 0 0 0 0 0 0 1 0
2690 0 0 0 0 0 0 0 1
2689 0 0 0 0 0 0 0 2
2688 0 0 0 0 0 0 0 1
2686 0 0 0 0 0 0 0 2
2685 0 0 0 0 0 0 0 1
2684 0 0 0 0 0 0 1 0
2683 0 0 0 0 0 0 0 1
2682 0 0 0 0 0 0 0 1
2681 0 0 0 0 0 0 0 1
2680 0 0 0 0 0 0 0 2
2679 0 0 0 0 0 0 0 1
2678 0 0 0 0 0 0 0 1
2677 0 0 0 0 0 0 0 2
2675 0 0 0 0 0 0 0 1
2672 0 0 0 0 0 0 0 4
2671 0 0 0 0 0 0 0 2
2670 0 0 0 0 0 0 0 1
2669 0 0 0 0 0 0 1 0
2668 0 0 0 0 0 0 0 2
2667 0 0 0 0 0 0 2 2
2666 0 0 0 0 0 0 0 2
2664 0 0 0 0 0 0 0 1
2663 0 0 0 0 0 0 0 1
2662 0 0 0 0 0 0 0 2
2661 0 0 0 0 0 0 1 2
2659 0 0 0 0 0 0 1 0
2657 0 0 0 0 0 0 2 2
2655 0 0 0 0 0 0 1 0
2654 0 0 0 0 0 0 1 2
2653 0 0 0 0 0 0 0 1
2651 0 0 0 0 0 0 1 2
2649 0 0 0 0 0 0 0 1
2648 0 0 0 0 0 0 1 1
2647 0 0 0 0 0 0 3 1
2646 0 0 0 0 0 0 0 2
2645 0 0 0 0 0 0 0 2
2644 0 0 0 0 0 0 2 1
2643 0 0 0 0 0 0 2 1
2642 0 0 0 0 0 0 1 1
2641 0 0 0 0 0 0 3 2
2639 0 0 0 0 0 0 3 2
2638 0 0 0 0 0 1 0 3
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239 0 0 0 0 2 32 55 112
238 0 0 0 1 23 3373 166 269
237 0 0 0 0 5 28 1255 121
236 0 0 0 0 38 4030 173 311
235 0 0 0 1 28 28 37 54694
234 0 0 0 2 44 30265 10636 305
233 0 0 0 0 7 38 59 142
232 0 0 0 3 34 250 179 327
231 0 0 0 1 23 43 540 169
230 0 0 0 1 47 9614 166 335
229 0 0 0 0 30 47 55 203
228 0 0 0 3 31 29867 161 30349
227 0 0 0 0 10 41 21530 241
226 0 0 0 5 35 682 194 417
225 0 0 0 1 90715 46 137 287
224 0 0 0 10 37 19676 204 440
223 0 0 0 2 6 52 54 325
222 0 0 0 8 29 19024 194 531
221 0 0 0 1 8 41 55 14024
220 0 0 2 9 19 1577 38662 581
219 0 0 1 3 115 64 52 422
218 0 0 1 4 22 32996 197 623
217 0 0 1 5 5 50 63 557
216 0 0 1 17 30 6154 196 784
215 0 0 0 2 25 70 74 648
214 0 0 2 11 15 4179 257 5198
213 0 0 2 4 222 56 62875 762
212 0 0 4 13 16 42513 236 964
211 0 0 1 2 4 55 69 905
210 0 0 6 10 11 347 248 1134
209 0 0 0 0 112 54 77 1096
208 0 0 2 3 9 9627 227 1364
207 0 0 2 3 166 57 74 2255
206 0 0 10 9 27 41154 90922 1550
205 0 0 2 2 9 73 77 1551
204 0 0 3 7 33 429 257 1937
203 0 0 1 0 418 42 86 1980
202 0 0 0 0 31 18854 281 2251
201 0 0 2 0 6 67 86 2365
200 0 2 5 4 64 149100 257 2764
199 0 0 0 2 49 58 114277 2756
198 0 0 0 2 57 956 277 3052
197 0 0 0 0 1030 53 109 3249
196 0 0 0 2 79 30772 300 3680
195 0 0 0 0 23 48 89 3838
194 0 0 0 1 90 7881 286 4328
193 0 0 0 0 178 57 117 4422
192 0 0 0 1 98 2127 125079 5114
191 0 0 0 0 1567 309 134 5129
190 0 0 0 4 113 39150 313 5726
189 0 0 0 5 37 72 151 6022
188 0 0 0 6 168 267 343 6810
187 0 0 0 2 782 69 166 7073
186 0 0 0 10 164 4585 386 7806
185 0 0 0 4 1100 89 114766 8298
184 0 0 2 10 147 37566 394 8956
183 0 0 0 21 55 102 251 9649
182 0 0 0 15 178 351 431 10644
181 0 0 0 3 2281 91 262 11395
180 0 0 1 35 183 9071 481 12523
179 0 0 0 7 35 141 318 13235
178 0 0 0 53 179 22724 87840 14404
177 0 0 1 34 180 3135 373 15493
176 0 0 5 53 148 426 587 16560
175 0 0 1 13 5473 121 437 18005
174 0 0 9 89 154 14281 638 19994
173 0 0 1 21 38 148 525 20795
172 0 0 20 83 157 7151 753 21875
171 0 0 3 20 848 129 52741 23127
170 0 0 11 81 116 9167 885 24547
169 0 0 3 15 7997 143 799 25922
168 0 0 47 105 110 18054 1079 28539
167 0 0 10 67 42 137 967 28591
166 0 0 35 129 107 517 1358 29902
165 0 0 2 14 3373 158 1280 31286
164 0 0 45 86 61 518 24607 32381
163 0 0 10 19 5664 23474 1515 34033
162 0 4 75 101 71 16609 1955 37096
161 0 0 12 236 124 154 1847 37206
160 0 8 92 78 100 515 2214 38810
159 0 0 7 11 10210 148 2350 40157
158 0 3 38 40 76 501 2693 42001
157 0 5 22 26 19 160 9398 44017
156 0 40 106 64 104 63785 3178 48506
155 0 1 9 298 581 148 3125 48912
154 0 22 62 48 126 489 3685 51266
153 0 0 1 1 22870 150 3744 53122
152 0 1 9 5 183 495 4263 56278
151 0 6 11 142 61 157 4403 58721
150 6916 73 63 31 119919 3409 6181 64629
149 0 0 0 0 2879 106419 5438 63575
148 0 0 0 2 289 530 5966 64995
147 0 0 0 3 31675 214 6324 66357
146 0 0 27 7 383 548 7189 68104
145 0 0 0 656 139 238 7819 68788
144 0 0 0 15 376 575 9001 73310
143 0 0 0 4 11314 270 9491 68419
142 0 0 1 21 476 182591 10671 67149
141 0 0 0 28 21426 283 11674 64932
140 0 0 88 43 579 653 12913 62674
139 0 0 0 2058 374 354 14087 60368
138 0 0 3 60 612 742 16046 62879
137 0 0 0 16 33234 435 16850 53585
136 0 0 5 94 663 880 18528 49496
135 0 0 0 136213 176 261546 19922 45352
134 0 0 11 138 747 968 21194 41951
133 0 0 0 2709 1544 650 22304 37725
132 0 0 9 174 672 1222 24718 42236
131 0 0 4 47 68772 833 25020 31035
130 0 0 120 258 774 1472 26768 28018
129 0 0 7 1372 193 1109 27596 25153
128 0 0 58 351 792 307967 29121 23374
127 0 0 11 72 6464 1419 29902 22201
126 0 0 89 448 656 2128 33413 30298
125 0 74263 20 136 91859 1929 32785 20979
124 0 0 616 533 667 2565 35136 20607
123 0 0 42 5913 181 2303 36694 20125
122 0 0 271 652 594 3097 39425 20539
121 0 0 37 122 24125 281388 41225 21306
120 0 0 278 614 519 3722 47824 32532
119 0 0 74 319 58909 3268 48584 23794
118 0 23 1719 789 507 4179 52704 23930
117 0 0 101 15640 396 3972 56592 24869
116 0 33 636 847 478 4757 61237 26332
115 0 0 68 126 65604 4367 65373 27743
114 0 20 602 520 376 192135 74197 39937
113 0 7 201 1643 482 5145 74777 30695
112 0 230 940 736 436 6454 79858 32985
111 0 8 165 18892 1702 6393 82349 33265
110 0 288 884 681 449 7896 84415 35226
109 0 7 79 95 132536 8233 86574 37042
108 0 112 1772 269 379 10494 94454 50128
107 0 95 193 8553 191 93331 88975 41088
106 367 1030 1102 481 2501 13321 88655 43103
105 0 59 107 79 6945 14762 86473 44933
104 226 594 588 304 616 17676 82650 49094
103 1 97 39 131 168582 19262 78158 49015
102 2 50 7026 70 654 23149 81963 60792
101 107 215 172 33270 278 24337 70168 54135
100 1632 1529 678 241 247201 45658 64953 59621
99 0 0 1 7 33420 30599 59028 58603
98 0 0 165 46 1063 34066 52271 60902
97 0 0 0 813 103335 35631 46932 63824
96 0 0 14226 78 1328 41138 52850 79027
95 0 0 0 80905 566 40489 40370 69445
94 0 0 3 130 1647 44013 38247 72219
93 0 20 0 60 63510 46313 35572 74730
92 0 0 2089 237 39592 48210 34463 85008
91 0 0 1 6066 970 49768 33407 80691
90 0 0 226669 179899 2428 55089 45967 90045
89 0 0 9 91929 1247 52684 36454 86351
88 0 0 35 445 2682 56863 39204 99827
87 0 579 15 212 121911 61476 39420 92012
86 0 0 14788 761 3311 67278 40462 95245
85 0 0 29 32081 123177 71552 41530 98303
84 0 0 151 1058 4106 87707 58109 119313
83 0 0 44 300 2651 90700 47985 104990
82 0 0 285 1148 4349 105289 50924 106568
81 0 4157 65 620 150741 120758 53000 109035
80 0 1 61929 1695 4703 135590 57737 130055
79 0 2 138 117750 3125 149139 56826 114286
78 0 7 738 2423 314730 176734 71504 120029
77 0 26 154 717 3198 181277 64206 118758
76 0 1 2180 2372 4963 201060 72832 142331
75 123415 12 367 2755 91526 217768 70543 122500
74 0 53 115192 3436 6495 232091 73572 124174
73 0 0 461 265211 6447 240252 76146 124885
72 0 132 2589 8216 9341 265421 98596 153679
71 0 1167 487 1747 614256 252670 85659 127699
70 0 85 16648 4270 12211 258851 89627 129033
69 0 73 1104 14217 14348 256401 93343 130517
68 0 997 4918 6186 18896 250583 110013 157663
67 0 89 1350 279220 21791 231218 102017 133532
66 0 1481 5885 6688 27169 234670 115417 136473
65 0 17855 1389 28116 27547 193297 113046 139231
64 0 975 93543 5406 882139 179627 136222 167967
63 0 763 3462 59962 38709 162070 123292 147929
62 2227 6980 11033 7934 47308 145913 127539 152928
61 3 830 4193 4922 53818 128336 132284 159669
60 2300 6711 310190 378618 64469 149401 165167 191913
59 3793 87353 4521 6522 63208 114328 142143 177891
58 839 3449 332582 130878 69346 120826 147053 189443
57 1529 4238 6955 197799 831846 126490 151666 200858
56 21736 24004 16099 13686 74964 141037 183247 234838
55 930 4867 12082 11107 72042 132932 159370 228275
54 12322 14743 17217 16300 76146 167490 167609 241883
53 55746 6004 7778 15358 57659 149198 168497 256861
52 5710 10615 541025 19100 66060 183207 204609 285046
51 15943 14614 8083 854084 79045 179892 178444 282888
50 83791 50212 17695 26628 429639 193076 185420 292895
49 0 25678 2291 27889 122373 202090 192448 301990
48 0 30 95875 39020 157967 270986 232868 318157
47 0 95 6792 48195 150765 233138 212567 308303
46 0 205 10293 63999 192388 255211 224564 308246
45 0 453738 13368 468931 243327 275411 239091 302513
44 0 0 16024 1177038 307357 338906 280686 300934
43 5545 250008 18713 98536 359379 311701 270352 280887
42 0 446 261261 100626 432726 350774 290054 265075
41 0 1327 337260 74358 422783 353495 307226 245622
40 0 3566 675398 67990 498898 437782 348045 231123
39 0 9696 92698 76378 580585 403575 343155 205897
38 3 12065 119594 98613 682893 427522 358735 183083
37 157338 934174 139534 1794363 772964 451068 369849 161983
36 5788 14237 923961 173956 898982 563376 393855 144235
35 8097 6428 119758 131504 849640 510794 377910 122755
34 18339 37631 1322042 154810 886975 548323 375871 104081
33 23 72799 114489 190011 876665 587946 364238 88587
32 176 101551 144287 261368 869524 704685 360444 75822
31 1152623 282379 165672 329144 745083 677760 327757 62312
30 66085 875205 1388723 1643927 702394 737182 301945 52134
29 139731 253048 154954 361419 524171 785976 272139 43033
28 335151 222447 147784 425528 592352 913694 248231 36408
27 1348284 495701 3077423 515820 570104 901664 208680 29158
26 43087 38802 124415 643841 663275 952188 179363 23853
25 677988 352908 301364 878263 759296 988875 149520 19385
24 2 897483 475536 1235345 1032627 1068363 126617 15439
23 0 17421 321055 1272341 919622 1016663 100147 11911
22 9 19079 455310 1645559 1081564 996185 81014 9305
21 118057 1349370 564458 1967358 1252749 951406 63962 7043
20 505893 1270291 3925413 2296532 1625935 916003 50792 5313
19 15323 99384 1073181 2251062 1636127 792006 38881 3879
18 1148722 529993 1717514 2219010 1902871 690078 29565 2669
17 212 4736351 1729033 1724401 2057445 580467 22155 1803
16 10205 431404 2836307 1941939 2559868 491801 17043 1318
15 1710809 4637641 3631549 1849783 2644248 372645 11966 900
14 251317 1132172 4908038 2312507 2950537 287139 8669 616
13 6001376 1526053 5527768 2876040 3189295 210934 6000 447
12 4890584 3133917 6386897 3900096 3566446 160233 4115 307
11 2216085 2334647 4911048 3936929 3328427 105488 2583 194
10 459623 12550529 4989884 4852920 3201678 73139 1769 119
9 11107261 7176485 5752477 5697740 2871010 48041 1136 92
8 2753373 11814673 8667229 6981325 2508999 33688 772 62
7 6038861 17093458 10419999 7247902 1852326 18950 416 45
6 38160945 22325023 12742724 7133535 1323748 12202 318 22
5 31102343 27123436 15173496 6411999 820016 6129 165 18
4 38694831 25203387 15977138 5369387 546316 4392 142 17
3 71610559 37067769 13488462 3241146 241067 2113 79 7
2 82893718 52643186 11896671 2188550 136027 1445 64 7
1 80941246 35290116 4800338 720831 47168 720 29 1
0 137094384 41170096 4099559 616452 49700 689 12 0
Total 522060000 316400000 158200000 94920000 63280000 31640000 15820000 15820000

 

The next table show the probability of winning zero, and the probability of at least one royal, based on the simulation results above.

Multi-Play Probabilities — 9/6 Jacks or Better

Hands Prob. Win Zero Prob. 1+ Royals
3 0.26260274 0.00006986
5 0.1301204 0.00011496
10 0.02591377 0.00022475
15 0.00649444 0.00033122
25 0.0007854 0.00053409
50 0.00002178 0.00099893
75 0.00000076 0.00142105
100 0 0.00181789

 

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