Take a look at these positions and consider whether you have enough market losers to offer the cube to your opponent.
The threshold for an initial double is a net of 9 market losers, provided you are doing alright on the rest of your rolls. Net market losers means Blue’s market losers minus White’s anti-market losers, the very bad sequences after which White is a clear favorite and may soon own a cube of his own. For redoubles the bar is higher, around 11 or 12 net, because by handing over the cube with a premature double you forfeit your own access to the cube. A premature double is a gift to your opponent, who would then have the ability to use the cube as a weapon against you.
Read the chips for clear market-losing rolls and anti-market replies; darker shades show stronger effects. Net estimates reflect the two-roll sequence—both Blue and White—not a sum of the chips.
Blue on Roll - Market Losers?
Unlimited Game - Centered Cube
DOUBLE/TAKE
Blue’s Clear Market-Losing Rolls
3/33/21/12/13/12/24/35/34/45/45/5
White’s Clear Anti-Market-Losing Replies
White has useful replies, but none qualifies for a red chip. The net estimate reflects the full two-roll distribution, not the number of green chips.
Estimated Net Market Losers: about 10 out of 36 (28%)
Not doubling would cost Blue 0.065 equity, an ERROR.
Blue on Roll - Market Losers?
Unlimited Game - Centered Cube
DOUBLE/TAKE
Blue’s Clear Market-Losing Rolls
5/52/26/65/14/25/23/35/34/46/51/14/16/13/24/35/4
White’s Clear Anti-Market-Losing Replies
White has useful replies, but none qualifies for a red chip. The net estimate reflects the full two-roll distribution, not the number of green chips.
Estimated Net Market Losers: about 11 out of 36 (31%)
Not doubling would cost Blue 0.033 equity, an ERROR.
Blue on Roll - Market Losers?
Unlimited Game - Centered Cube
DOUBLE/TAKE
Blue’s Clear Market-Losing Rolls
1/13/13/34/35/36/35/52/23/2
White’s Clear Anti-Market-Losing Replies
1/1
Estimated Net Market Losers: about 11 out of 36 (31%)
Not doubling would cost Blue 0.085 equity, a BLUNDER.
Blue on Roll - Market Losers?
Unlimited Game - Centered Cube
DOUBLE/TAKE
Blue’s Clear Market-Losing Rolls
6/61/16/13/35/56/5
White’s Clear Anti-Market-Losing Replies
6/6
Estimated Net Market Losers: about 8 out of 36 (22%)
Not doubling would cost Blue 0.032 equity, an ERROR.
Blue on Roll - Market Losers?
Unlimited Game - Blue Owns Cube at 2
REDOUBLE/TAKE
Blue’s Clear Market-Losing Rolls
1/12/13/13/34/15/16/13/24/35/36/36/5
White’s Clear Anti-Market-Losing Replies
4/46/65/51/15/36/4
Estimated Net Market Losers: about 10 out of 36 (28%)
Not redoubling would cost Blue 0.009 equity, below the error threshold.
Blue on Roll - Market Losers?
Unlimited Game - Centered Cube
DOUBLE/TAKE
Blue’s Clear Market-Losing Rolls
1/13/34/43/12/24/26/64/16/15/24/36/46/55/4
White’s Clear Anti-Market-Losing Replies
5/54/4
Estimated Net Market Losers: about 11 out of 36 (31%)
Not doubling would cost Blue 0.032 equity, an ERROR.
Blue on Roll - Market Losers?
Unlimited Game - Centered Cube
DOUBLE/TAKE
Blue’s Clear Market-Losing Rolls
6/64/41/12/12/26/2
White’s Clear Anti-Market-Losing Replies
White has useful replies, but none qualifies for a red chip. The net estimate reflects the full two-roll distribution, not the number of green chips.
Estimated Net Market Losers: about 8 out of 36 (22%)
Not doubling would cost Blue 0.023 equity, an ERROR.
Blue on Roll - Market Losers?
Unlimited Game - Centered Cube
DOUBLE/TAKE
Blue’s Clear Market-Losing Rolls
6/63/35/56/55/36/3
White’s Clear Anti-Market-Losing Replies
White has useful replies, but none qualifies for a red chip. The net estimate reflects the full two-roll distribution, not the number of green chips.
Estimated Net Market Losers: about 9 out of 36 (25%)
Not doubling would cost Blue 0.017 equity, below the error threshold.
Blue on Roll - Market Losers?
Unlimited Game - Centered Cube
DOUBLE/TAKE
Blue’s Clear Market-Losing Rolls
6/64/45/52/26/23/36/36/45/16/13/24/24/35/46/5
White’s Clear Anti-Market-Losing Replies
White has useful replies, but none qualifies for a red chip. The net estimate reflects the full two-roll distribution, not the number of green chips.
Estimated Net Market Losers: about 12 out of 36 (33%)
Not doubling would cost Blue 0.062 equity, an ERROR.
Blue on Roll - Market Losers?
Unlimited Game - Centered Cube
DOUBLE/TAKE
Blue’s Clear Market-Losing Rolls
1/15/25/52/15/16/12/24/13/25/35/46/5
White’s Clear Anti-Market-Losing Replies
1/14/42/14/15/14/25/25/3
Estimated Net Market Losers: about 12 out of 36 (33%)
Not doubling would cost Blue 0.058 equity, an ERROR.