The probability of picking the ace of hearts =

The odds of picking an ace =

the odds of picking a heart = =

But if you first pick the ace of hearts, the odds of picking a heart afterwards becomes = =

So if you first pick an ace not equal to the ace of hearts, the odds are .

If you first pick the ace of hearts then the odds of picking a heart are

This is what my beginner mathematical mind thinks... can be wrong...

Edit: Edited Mistakes