Friday, September 25, 2015 9:04:48 PM
Good reply. But you made a mistake in your reasoning. In your example Sarissa has failed five times and so we can represent our chances of current success as a single state on a six sided dice. If we toss that state this time we succeed. I can buy that. But 85% chance of failure treats each toss as an independent event when, in truth, they are mutually exclusive events. Say 3 succeeds and all other numbers fail. We have rolled five times and not gotten a 3. Because the events are mutually exclusive there is a 1-(5/6)^n chance that we will get a 3 after n rolls. If you work that out you will find that according to your mathematical metaphor Dan has a 66.5% chance of SUCCESS, not a 85% chance of failure.
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