Probability Distribution CurvesWith everything in place, probability curves for each of the different timescales can be formed as functions of randomized mass and radius. Bear in mind these probabilities do not fully reflect the probability of the system forming in the first place and do not take into account environmental factors, but are rather probabilities of a merger after the system has been established in an isolated area of space. All probabilities are scaled in thousands of a percent.
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Universal Time Scale
As expected, the Universal time scale gives way to the highest probabilities for two black holes to merge. On average, of the 5000 randomized initial conditions, 11 black holes were able to merge on this timescale.
Solar Time Scale
The Solar time scale had the second highest probability and on average 6 of the 5000 black holes were able to merge.
10 Million Years
10 Million Years had the lowest probability and on average, only 2 of the 5000 black holes were able to merge. The simulation must have generated rather large black holes at a close distance in order for a timescale like this to be possible.