Assuming by "Ten" for BJ4 and "Face Card" for BJ1, BJ2, and BJ3 you are referring to any ten-valued card and not specifically to JQK for the first 3 blackjacks and T for the 4-th blackjack, the answer is 4,034,212-to-1.
WOW - thanks! No, I was not asking that general question, so thank you! How in the world does one go about figuring that out??
Depends on the casino, definitions vary by casino. The place my friend was at considered her four amazing deals blackjacks (and paid appropriately).