Assuming a standard 52-card deck, what's the probability of dealing three eights in a row when the c

Assuming a standard 52-card deck, what's the probability of dealing three eights in a row when the cards are returned and the deck is shuffled between each draw?

There are four (8's) in a standard 52 card deck. The probability of drawing an 8 is:
4/52

Using our fraction simplifier, we get:
1/13

Now, with each draw, we replace the deck. So each draw of an 8 has a 1/13 probability. And since each of the three draws is independent, we multiply each probability:
1/13 * 1/13 * 1/13 = 1/2197 or 0.00045516613