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Endgames are easy #2

Posted By: Daniel Murphy
Date: Monday, 12 March 2012, at 8:40 p.m.

In Response To: Endgames are easy #2 (neilkaz)

I spent a minute near the end of my lecture in NM mentioning this score as a common source of cube errors. The error is that after taking and recubing, the trailer hasn't won the match. Time and time again, I see intermediates making this sort of mistake.

Illustrating:

Trailing 4a 2a, instead of 5a 2a, taking has a little more risk from take/lose, but much more gain from take/redouble/win. At 4a 2a taking risks 2.8% more match equity, but gains 65.6% more match equity. Thus, Trailer has a much lower take point trailing 4a 2a.

Trail 5a 2a, Leader Doubles, Trailer can redouble
Pass ->5a 1a Cr->15.8%
Take/Lose->5a 0a ->0%
Take/Win ->1a 2a Cr->67.7%

Risk = 15.8% - 0% = 15.8%

Gain = 67.7% - 15.8% = 51.9%

R/R+G) = 15.8%/67.7% -> Takepoint = 23.34%

Trail 4a 2a, Leader Doubles, Trailer can redouble
Pass ->4a 1a Cr->18.6%
Take/Lose->4a 0a ->0%
Take/Win ->0a 2a Cr->100%

Risk = 18.6% - 0% = 18.6%

Gain = 100% - 18.6% = 81.4%

R/R+G) = 18.6%/100% -> Takepoint = 18.6%

Below, Blue wins 81.3%. Close take trailing 4a 2a (passing gives up 0.2% match equity), huge drop trailing 5a 2a (taking gives up 3.2% match equity).

White47

 '2X2X ' '2X ' ' ' ' ' '

 '2O2O2O2O2O ' ' ' ' ' '
Blue40
Position ID: NgYAQLZtAAAAAA Match ID: cAmgABAAGAAE

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