Printing Rarity Equality

In my short time spending lots of money on magic cards I've become curious about rarities and how many of each cards are printed. Since I've started collecting I've gotten 25 mythic rares, three of which are Beguiler of Wills (one foil) but have no other doubles of Mythic. Which led me to this question, are all cards of a particular rarity printed evenly or are there certain cards printed more frequently?

All cards of the same rarity appear on their respective sheets the same number of times. What this means is if you open enough packs, you will get the same number on average of each card of the same rarity.