Question

In the game of blackjack, a 2-card hand consisting of an ace and either a face card or a 10 is called a "blackjack". If a standard 52 card deck is used, determine how many blackjack hands can be dealt. (A "facecard" is a jack,queen,or king).

I am not that familiar with the game of blackjack but I know there are 4 aces,12 face cards, and 4 10 cards in the deck of 52. Can I solve this using a tree diagram or is it easier to do by hand like this?:

4*16 (16 from combining the face cards and 10s) =64

Answer 1

I am only familiar with the grade school method of probability.

Answer 2

64 is correct, just take 4*16 like you did

I don't see any question about probability

If you wanted the probability, it would be
C(4,1) * C(16,1)/C(52,2)
= 64/1326 = 32/663 or .048265.. as a decimal