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<blockquote data-quote="Majere" data-source="post: 1858834" data-attributes="member: 13916">Here are my answers (with working !)1) What are the odds of me rolling a single natural 20 out of the four dice I roll for a normal round?P(Not rolling a 20 if I roll 1d20)= 19/20P(Not 4d20 not rolling a 20) = (19/20)^4 = 0.81450625P(At least 1 success) = 1- P(0 sucessess)= 0.185492) What are the odds of rolling a single natural 20 out of the six dice I roll for a full-round action?P(0 sucessess) = (19/20)^6= 0.73509P(At leas 1 success) = 1-P(n=0(6))= 0.26489083) What are the odds of rolling 4 natural 20's out of the 4 dice I roll for a normal round?P(n=4(6))= (1/20)^5 = 1 in 1600004) What are the odds of rolling 6 natural 20's out of the 6 dice I roll for a full-round action?P(n=6(6)) = (1/20)^6= 1 in 64x10^6Crit range now 18-20P(0(1)) =17/201) P(n&gt;0(4))= 1-P(n=0(6))= 0.477992) P(n&gt;0(6))= 1-P(n=0(6))= 0.6228503) P(n=4(4))=(3/20)^4 = 81 in 160000&nbsp;&nbsp; = 0.000506254) P(n=6(6))=(3/20)^6 = 729 in 64million= 0.00001139</blockquote>

[QUOTE="Majere, post: 1858834, member: 13916"] Here are my answers (with working !) 1) What are the odds of me rolling a single natural 20 out of the four dice I roll for a normal round? P(Not rolling a 20 if I roll 1d20)= 19/20 P(Not 4d20 not rolling a 20) = (19/20)^4 = 0.81450625 P(At least 1 success) = 1- P(0 sucessess)= 0.18549 2) What are the odds of rolling a single natural 20 out of the six dice I roll for a full-round action? P(0 sucessess) = (19/20)^6= 0.73509 P(At leas 1 success) = 1-P(n=0(6))= 0.2648908 3) What are the odds of rolling 4 natural 20's out of the 4 dice I roll for a normal round? P(n=4(6))= (1/20)^5 = 1 in 160000 4) What are the odds of rolling 6 natural 20's out of the 6 dice I roll for a full-round action? P(n=6(6)) = (1/20)^6= 1 in 64x10^6 Crit range now 18-20 P(0(1)) =17/20 1) P(n>0(4))= 1-P(n=0(6))= 0.47799 2) P(n>0(6))= 1-P(n=0(6))= 0.622850 3) P(n=4(4))=(3/20)^4 = 81 in 160000 = 0.00050625 4) P(n=6(6))=(3/20)^6 = 729 in 64million= 0.00001139 [/QUOTE]

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