Suit Combination: AKQ9 v x(x) and AK9x v Qx

The video below talks about using computers to reduce the amount of calculation in maths. An example of where this is useful would be teaching standard deviation. The formulae are imposing to students and the difference between sample standard deviation and population standard deviation is less important than getting a feel for how standard deviation works.


Still sometimes it is important to understand how the gears work.

I was looking through the Suit Combinations missing 1 point on Bridge Guy's and felt that some of their answers were off so I decided to check them myself.

I ran the first example by hand before turning it over to Richard Pavlicek's Card-Combination Analyzer.

AKQ9 v x : 

BridgeGuys: Finesse the 9 which works 6% of the time.

Drop:

• JTx: 5-3 split is 47.1, 12/112 comb -> 5.05%
• JT: 6-2 split is 17.1, 2/56 comb -> 0.61
• Total: 5.66%

Finesse: theoretically 0%  and JT onside in any combination is obviously 24% ( 1/2*12/25).

• JT onside: 0.3%
• JTx onside: 2.52%
• JTxx onside: 32.7 * 15/70 -> 7.01%
• JTxxx onside: 41.7 * 20/112 -> 8.41%
• JTxxxx onside: 17.1 * 15/56 -> 4.58%
• JTxxxxx onside: 2.9 * 6/16 -> 1.09%
• JTxxxxxx onside: 0.08 but 0% if AKQ9 in dummy
• Total: 23.99%