Find the probability whose odds against are given in the problem.

Odds against are 10000 to 7.

p = 7/10,007 = 6.995*10^-4

To find the probability when the odds against are given in the problem, we can use the formula:

Probability = (Total outcomes against) / (Total outcomes for + Total outcomes against)

In this case, the odds against are given as 10000 to 7. This means that for every 10000 outcomes against, there are 7 outcomes for.

We can use this ratio to find the probability:

Total outcomes against = 10000
Total outcomes for = 7

Therefore, the probability is:

Probability = 10000 / (7 + 10000)
= 10000 / 10007
≈ 0.9993

So, the probability whose odds against are given in the problem is approximately 0.9993 or 99.93%.