The question isn't whether 1 has occurred but what is the value of 1 (it's
a variable) and is the distribution of 3 is independent of that observed
value.

---
Frank C. Wimberly
140 Calle Ojo Feliz,
Santa Fe, NM 87505

505 670-9918
Santa Fe, NM

On Sat, Dec 4, 2021, 5:38 PM Nicholas Thompson <thompnicks...@gmail.com>
wrote:

> Frank,
>
> Still need help. Given events 1, 2, and 3, 3 has been screen off by 2 from
> 1, if  the probability that 3 occurs given that 2 has occurred is equal to
> the probability that 3 occurs given that both 2 and one have occurred.
>  As I understand mathematics this equality requires that the probability of
> 1 occurring is 1.00.  Another way to say that is that the probability that
> 3 occurs  if 2 has occurred is the same as the probability that 3 has
> occurred if 2 has occurred, and 1 has already occurred.  What's the fun in
> that?  In other words, given the possibility of other causes for 2, the
> fact that 2 occurs gives us relatively little evidence that 1 has
> occurred.  Isn"t this true of all causal abduction?
>
> N
>
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