I'm not sure what you are seeking.
If the odds against are 10,000 to 1, then the odds of success are 1 in 10,000.
Find the probability whose odds against are given in the problem.
Odds against are 10000 to 1
2 answers
PsyDAG is wrong, I believe.
The odds are 1/(10,000+1) or 1/10,001.
The odds are 1/(10,000+1) or 1/10,001.