The Cincinnati Kid / Final Hand

A straight flush is a hand that contains five cards in sequence, all of the same suit, such as Q♣ J♣ 10♣ 9♣ 8♣ (a hand that meets the requirements of both a straight, and a flush). Two such hands are compared by their card that is ranked highest. Aces can play low in straights and straight flushes: 5♦ 4♦ 3♦ 2♦ A♦  is a 5-high straight flush, also known as a “steel wheel”.

 

The Cincinnati Kid / Final Hand

   “You’re good, Kid but as long as I’m around you’ll always be second best.”
  – Lancey”The Man” Howard …  Cincinnati Kid, 1965
In the Movie’s final show down  the “Kid”  {Steve McQueen} finds “The Man”…
Lancey  Howard  { Edward G Robinson} holds the Jack in the hole in a 5 card stud classic..
He was open ended for the straight either  7 ♦ or the Q ♦
What was his probability to hit ?
Better than you might think..
 

Probability and Poker

All the combinations in one suit comes to ten. If we multiply this by the four suits we can see that there are 40 out of 2,598,960 chances of being dealt a straight flush. Now divide both aspects of our ratio by 40 to get 1/64,974. These are still long odds but better than those of just getting a royal flush. Remember, too, that if you are dealt four of the cards you need for a straight flush, the odds on getting the other card you need are pretty good, 2 in 47.

“Why 2 in 47?” you may well ask. It is because often when you get four cards in a straight flush, all you need to fill it is one card on either end of the straight. For example, you are dealt the 5,6,7,8 of clubs. If you get either the 4 of clubs or the 9 of clubs you have filled your straight flush.

About Bart7

Chess enthusiast and wanna be blogger ..Supporter of God,Family,USA and Gaming. Long live the Q.G.and Freedom.[GTh:77]
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One Comment

  1. Its ok to Drive like Steve McQueen just dont gamble like him..

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