> Denny wrote:
> Does math prove that just by counting, we're changing the outcome, or
> am I conflating different maths?
>

The point Dana and Robert are making relates to independent events,
e.g., each flip of a coin.  In that case, each flip is it's own event
with the same probability of the "favorable" outcome.

The trick comes in when you want to string multiple events together;
or dependent events.  When you do this your odds decrease.  E.g.,
Here's the probability table for flipping successive heads in a row:

1/2, 1/4, 1/8, 1/16, 1/32, ..., 1/1024 for 10 heads in a row.

As you can see, flipping 10 heads in a row is extremely unlikely.

The principle is exactly the same for, say, car accidents.  A person
has much better odds of being accident for 1 day in a row, then, say,
1000.

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