suited blackjacks
In a single deck game, if a blackjack is due about every 22 hands, would a suited blackjack be due about every 88 hands ?
In a single deck game, if a blackjack is due about every 22 hands, would a suited blackjack be due about every 88 hands ?
The probability for a suited blackjack getting the Ace as the first card is 4/52 * 4/51 = 0.006033 or about 1/166. The "4/52" is the chance of getting any Ace, and the "4/51" is the chance of getting a ten-value card of the same suit.
The probablity for a suited blackjack getting the Ten-value card first is the same: 16/52 * 1/51 = 0.006033 or about 1/166. The "16/52" is the chance of getting any ten value card and the "1/51" is the chance of getting the ace of the same suit.
Thus, the probability of getting a suited blackjack is about 1/83.
...in single deck, a snapper is "due" about 1 in every 20.72 hands, not the 1 in 22 you stated:
2 * 4 * 16 / 52 / 51 = 0.04827, or about 1/20.719.
So, the other part of your assumption was correct, though the number was wrong: 1/4th of those will be suited.
