Sequences Probability Calculator v.1.2
Set your sequences pattern (S, L) and the random process (T, t, c) creating it, and see if the system resources (A, C, UPB) are enough...

Limit Parameters (system resources)
Number A of seconds (age of system): default system = universe
Maximun number C of chemical reactions per second: =1.0E13 (exponential notation) =1.0x10^13 (scientific notation)
Dembski Universal Probability Bound UPB: probability below which an event is scientifically implausible
Inputs to set by the user
System: universesolarsystemearth
Number S of symbols of the alphabet: use integer notation (e.g. binary=2, DNA=4, aminoacids=20, English letters=26, natural atoms=90...)
Length L of the sequence (symbols): use integer or exponential notation (e.g. 4000, 3.8E6, max 1E13)
Number T of random trials set by the user: use integer or exponential notation (e.g. 20000, 1.5E23)
Duration time t of a single trial (seconds): use integer/decimal or exponential notation (e.g. 0.00071, 2.9E-11)
Number c of chemical reaction per trial: use integer or exponential notation (e.g. 100, 3.3E4)



Computed Results
Overall number of sequences Os = S^L =
Overall Shannon information I = log2(S)*L*Os =
Probability P1 = S^-L of randomly occurring in a single trial =
Probability Pn = 1 - (1 - P1)^T of randomly occurring at least once in 0 trials =
Overall time T*t of all trials (second) =
Overall number T*c of chemical reactions in all trials =
Computed number Tp of trials to have Pn=1/2 =