a interesting problem in condition distribution

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Posted: Sat May 03, 2008 3:29 pm

P(x=t-1| T=t)= P(X = t+1|T=t) = 0.5
T~ uniform(-c,c)

find the conditional distribution of T on X.

I don't know how to figure it out because { T=t } is a measure 0 set
which makes the common condition probability unavailable.

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