This is a simulation of a two Phase, Soccer game, alias bitcoin attack where the Good Guys Team first scores, 2, goals. with the probability of success for the bad guy, 1/5 and the bad guy declared a loser if he is, 200, behind. run , 10000, times The theoretical probability is, 0.2080000000 The empirical prob. of success in this run is, 0.2031000000 The theoretical (conditional) expected duration is, 1.153846154 The empircal (conditional) expected duration is, 1.094534712 Note that the standard deviation of the (conditional) duration (in case of s\ uccess) of a single game is, 1.926492693 -------------------------------------- This is a simulation of a two Phase, Soccer game, alias bitcoin attack where the Good Guys Team first scores, 3, goals. with the probability of success for the bad guy, 1/5 and the bad guy declared a loser if he is, 200, behind. run , 10000, times The theoretical probability is, 0.1158400000 The empirical prob. of success in this run is, 0.1175000000 The theoretical (conditional) expected duration is, 1.339779006 The empircal (conditional) expected duration is, 1.362553191 Note that the standard deviation of the (conditional) duration (in case of s\ uccess) of a single game is, 2.211698391 -------------------------------------- This is a simulation of a two Phase, Soccer game, alias bitcoin attack where the Good Guys Team first scores, 4, goals. with the probability of success for the bad guy, 1/5 and the bad guy declared a loser if he is, 200, behind. run , 10000, times The theoretical probability is, 0.06668800000 The empirical prob. of success in this run is, 0.06690000000 The theoretical (conditional) expected duration is, 1.465131158 The empircal (conditional) expected duration is, 1.417040359 Note that the standard deviation of the (conditional) duration (in case of s\ uccess) of a single game is, 2.415025577 -------------------------------------- This is a simulation of a two Phase, Soccer game, alias bitcoin attack where the Good Guys Team first scores, 5, goals. with the probability of success for the bad guy, 1/5 and the bad guy declared a loser if he is, 200, behind. run , 10000, times The theoretical probability is, 0.03916288000 The empirical prob. of success in this run is, 0.03940000000 The theoretical (conditional) expected duration is, 1.556739443 The empircal (conditional) expected duration is, 1.535532995 Note that the standard deviation of the (conditional) duration (in case of s\ uccess) of a single game is, 2.569611959 -------------------------------------- This is a simulation of a two Phase, Soccer game, alias bitcoin attack where the Good Guys Team first scores, 6, goals. with the probability of success for the bad guy, 1/5 and the bad guy declared a loser if he is, 200, behind. run , 10000, times The theoretical probability is, 0.02330841088 The empirical prob. of success in this run is, 0.02490000000 The theoretical (conditional) expected duration is, 1.627203442 The empircal (conditional) expected duration is, 1.562248996 Note that the standard deviation of the (conditional) duration (in case of s\ uccess) of a single game is, 2.692128443 -------------------------------------- This is a simulation of a two Phase, Soccer game, alias bitcoin attack where the Good Guys Team first scores, 7, goals. with the probability of success for the bad guy, 1/5 and the bad guy declared a loser if he is, 200, behind. run , 10000, times The theoretical probability is, 0.01400712233 The empirical prob. of success in this run is, 0.01320000000 The theoretical (conditional) expected duration is, 1.683375795 The empircal (conditional) expected duration is, 1.409090909 Note that the standard deviation of the (conditional) duration (in case of s\ uccess) of a single game is, 2.792137829 -------------------------------------- This is a simulation of a two Phase, Soccer game, alias bitcoin attack where the Good Guys Team first scores, 8, goals. with the probability of success for the bad guy, 1/5 and the bad guy declared a loser if he is, 200, behind. run , 10000, times The theoretical probability is, 0.008479499420 The empirical prob. of success in this run is, 0.006900000000 The theoretical (conditional) expected duration is, 1.729360176 The empircal (conditional) expected duration is, 1.217391304 Note that the standard deviation of the (conditional) duration (in case of s\ uccess) of a single game is, 2.875612195 -------------------------------------- This is a simulation of a two Phase, Soccer game, alias bitcoin attack where the Good Guys Team first scores, 9, goals. with the probability of success for the bad guy, 1/5 and the bad guy declared a loser if he is, 200, behind. run , 10000, times The theoretical probability is, 0.005162925674 The empirical prob. of success in this run is, 0.005800000000 The theoretical (conditional) expected duration is, 1.767788048 The empircal (conditional) expected duration is, 1.672413793 Note that the standard deviation of the (conditional) duration (in case of s\ uccess) of a single game is, 2.946513852 -------------------------------------- This is a simulation of a two Phase, Soccer game, alias bitcoin attack where the Good Guys Team first scores, 10, goals. with the probability of success for the bad guy, 1/5 and the bad guy declared a loser if he is, 200, behind. run , 10000, times The theoretical probability is, 0.003158241098 The empirical prob. of success in this run is, 0.003600000000 The theoretical (conditional) expected duration is, 1.800435746 The empircal (conditional) expected duration is, 1.888888889 Note that the standard deviation of the (conditional) duration (in case of s\ uccess) of a single game is, 3.007594493 -------------------------------------- This is a simulation of a two Phase, Soccer game, alias bitcoin attack where the Good Guys Team first scores, 11, goals. with the probability of success for the bad guy, 1/5 and the bad guy declared a loser if he is, 200, behind. run , 10000, times The theoretical probability is, 0.001939392877 The empirical prob. of success in this run is, 0.001600000000 The theoretical (conditional) expected duration is, 1.828551411 The empircal (conditional) expected duration is, 1.125000000 Note that the standard deviation of the (conditional) duration (in case of s\ uccess) of a single game is, 3.060834806 -------------------------------------- This is a simulation of a two Phase, Soccer game, alias bitcoin attack where the Good Guys Team first scores, 12, goals. with the probability of success for the bad guy, 1/5 and the bad guy declared a loser if he is, 200, behind. run , 10000, times The theoretical probability is, 0.001194787417 The empirical prob. of success in this run is, 0.001400000000 The theoretical (conditional) expected duration is, 1.853040802 The empircal (conditional) expected duration is, 2.357142857 Note that the standard deviation of the (conditional) duration (in case of s\ uccess) of a single game is, 3.107702429 -------------------------------------- This is a simulation of a two Phase, Soccer game, alias bitcoin attack where the Good Guys Team first scores, 13, goals. with the probability of success for the bad guy, 1/5 and the bad guy declared a loser if he is, 200, behind. run , 10000, times The theoretical probability is, 0.0007380960691 The empirical prob. of success in this run is, 0.0006000000000 The theoretical (conditional) expected duration is, 1.874578910 The empircal (conditional) expected duration is, 0.1666666667 Note that the standard deviation of the (conditional) duration (in case of s\ uccess) of a single game is, 3.149311228 -------------------------------------- This is a simulation of a two Phase, Soccer game, alias bitcoin attack where the Good Guys Team first scores, 14, goals. with the probability of success for the bad guy, 1/5 and the bad guy declared a loser if he is, 200, behind. run , 10000, times The theoretical probability is, 0.0004570552394 The empirical prob. of success in this run is, 0.0005000000000 The theoretical (conditional) expected duration is, 1.893680082 The empircal (conditional) expected duration is, 1. Note that the standard deviation of the (conditional) duration (in case of s\ uccess) of a single game is, 3.186523820 -------------------------------------- This is a simulation of a two Phase, Soccer game, alias bitcoin attack where the Good Guys Team first scores, 15, goals. with the probability of success for the bad guy, 1/5 and the bad guy declared a loser if he is, 200, behind. run , 10000, times The theoretical probability is, 0.0002836128988 The empirical prob. of success in this run is, 0.0007000000000 The theoretical (conditional) expected duration is, 1.910743771 The empircal (conditional) expected duration is, 1.571428571 Note that the standard deviation of the (conditional) duration (in case of s\ uccess) of a single game is, 3.220019884 -------------------------------------- This is a simulation of a two Phase, Soccer game, alias bitcoin attack where the Good Guys Team first scores, 16, goals. with the probability of success for the bad guy, 1/5 and the bad guy declared a loser if he is, 200, behind. run , 10000, times The theoretical probability is, 0.0001763099041 The empirical prob. of success in this run is, 0.0001000000000 The theoretical (conditional) expected duration is, 1.926085326 The empircal (conditional) expected duration is, 0. Note that the standard deviation of the (conditional) duration (in case of s\ uccess) of a single game is, 3.250343032 -------------------------------------- FAIL -------------------------------------- FAIL -------------------------------------- FAIL -------------------------------------- FAIL