Quote:
Originally Posted by Chas H
The coin toss is not relevent to the lottery because it is a single event. The lottery is 6 mutually exclusive events. That is, once a number has been picked it can not be picked again. The odds in tossing a coin are not mutually exclusive in that the same result could happen every time.
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This is not correct.
You can make an ordering of every possible lottery outcome (i.e., a list). Then you can toss a coin enough times to create a binary number long enough to pick something from the list. That shows that tossing a coin is sufficient to the task of picking a lottery number.
The converse is easy. You look at the first ball drawn. If it's even, you call heads. If it's odd, you call tails. That shows that drawing a lottery is sufficient to the task of flipping a coin.
They're the same thing.