Blackjack, also known as "21" is a very popular card game that is normally featured in casinos everywhere. It's a fairly simple game, everyone is dealt two cards and if you can get them to equal twenty one right away then that is called a Blackjack. Each cards face number is its actual worth in this game with face cards being worth ten each, and the ace worth either one or eleven. There are many other rules involved with blackjack but we won't go into the details now. So, how does this have anything to do with math besides counting up to twenty one?
So you may think that getting a natural blackjack is pretty easy, but in reality there is only a 4.8% chance of you actually getting a blackjack. So that's about five out of every one hundred hands played you will get a blackjack. However, on the flip side of that players will be dealt between 1 and 16 about 38.7% of the time. Which means it can be high risk if you "hit" and go over. So out of every 39 of 100 hands you'll have to make that decision. So typically in blackjack if you have between 17 and 20, that's called a stay hand. It's called a stay hand because if you "hit" the odds of you going over are not in your favor. The odds of you getting a stay hand is about 30% so you won't have to take your turn every 3 out of 10 turns. Which can be a blessing or a curse. Because, who knows, that might've been the one card that you needed to win but you didn't want to risk going over 21. Dealers in blackjack have what is called a bust card which is face up. Being able to see which cards lets you see the probability of them busting is. If they have a 6, there is about a 42% chance of of them busting. So that's like 4 out of every 10 turns the dealer will bust. Naturally, the higher your two combined cards are the higher your chances are of busting if you "hit" but if your two cards combine for eleven or less, it is impossible to bust.
To the right is a picture of what you would find if you had a natural blackjack. You have the face card that is worth ten, which is the Jack. And you have the Ace which can be worth eleven or one, so naturally you would want eleven because you would win.
This page by Malakai D. (19')