Enter the number of cards North-South are missing in Suit 1 and Suit 2, then click Calculate to show percentages of all possible breaks. For example, suppose North-South have eight spades and seven hearts. For Suit 1 enter 5 (missing spades), and for Suit 2 enter 6 (missing hearts). It makes no difference which suit is 1 or 2. Optionally, Suit 2 may be left blank to analyze a single suit.
Spaces By default, percentages are calculated a priori (from the beginning) which assumes West and East have 13 available spaces each. Reducing one or both settings can find true percentages for any situation. For example, suppose that in another suit West is known to hold six cards and East only two; set Wests spaces to 7 and Easts to 11 to analyze this scenario.
Known By default, all breaks are presumed to be possible. If you know otherwise, you can exclude layouts. Suppose East opened 1 NT, and you conclude he cannot have a singleton or void. On the Known line, type E1>1 E2>1 (no quotes). You may also wish to add E1<6 E2<6 to exclude 6+ cards.
Syntax of first character: W or E; second character: 1 (Suit 1), 2 (Suit 2), S (sum Suit 1+2), D (difference Suit 1-2) or R (reverse difference Suit 2-1); third character: = (equal), ! (not equal), > (greater than) or < (less than). This must be followed by a number 0-13. Letter case doesnt matter. Multiple tests must be separated by a space (logical And is assumed); checking Or will interpret as alternatives; and Not will reverse true/false status.Query To find the probability of any layout, enter the favorable condition(s) on the Query 1 line, using the same notation as for the Known section. If desired, a second query may be entered on the Query 2 line.
Precision By default, percentages are rounded to two decimal places. This can be increased to 4, 6, 8, 10 or 12 places, or decreased to 0 (rounded to whole percent).
Theoretical notes This analyzer works for any missing cards within two groups, regardless of how those groups are defined. For example, if you are missing three kings and two queens, enter 3 and 2 (for Suit 1 and Suit 2) to determine correct percentages for the division of those honors.
For an explanation of how known information affects the calculation of percentages, see How Percentages Change.
Copyright © 2006 Richard Pavlicek