Using the calculator you provided and setting the win chance at 0.95 (95% chance of loss because the win chance is 5%) - "The probability of a streak of at least 173 consecutive successes in 100000 trials is 50.33%." So if you have a 95% chance of loss, the chance of a streak of 173 is nowhere near 0.01% as you imagine.
http://completecurrencytrader.com/tools/streak-probability-calculator/ - 50.3% chance over 100,000 rolls with a loss probability of 0.95
http://www.beatingbonuses.com/calc_streak.htm - again 50.3%
Check your calculations before making accusations.
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How about this to settle this once and for all:
I am willing to put 1.1 BTC in escrow if you do the same and we can get an expert to verify the probability of losing 173 rolls in a row with a 5% win chance over 100,000 rolls. If it is 25% or lower, you win and if it is higher than 25%, I do. The winner keeps 2 BTC and the expert/escrow gets 0.2 BTC. We can use either dooglus or RHvar as both the escrow and the expert (if they agree to it).