Re: Ch. 1.3.1 vs. Ch. 1.3.2
I suspect this will be clear!
You have indicated that a coin toss is a trial and you have had 97 of them. The only hypotheses for the toss of a coin are "heads" and "tails". If you have been dead right on 97 trials, you have a double headed coin (or a double-tailed one). This will give you confidence for the next 3 trials.
Your example reminded me that Hoeffding requires independent, identically distributed examples.
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