Help With Math Please

[1p0kerb0y]

I was curious for a problem I am doing. I'm seeking either a mathematical equation or perhaps an online program that will help me to do a problem. Here it goes:

I have 13 cards, all hearts. The odds that I will draw the ace of hearts out is 1/13. If I shuffle and pick a card, and then repeat that process 13 times, the odds are that I will pick the ace out 1 time.

Is there a program or a calulation that will run random runs to show the variance associated with this promblem? For instance, maybe half of the time I pull the ace out once, 25% of the time I pull it out twice or not at all, etc.

Thanks to anyone who can help me.