Blackjack eight decks and dealer stands on soft 17 expected returns

Blackjack eight decks and dealer stands on soft 17 expected returns

Blackjack eight decks and dealer stands on soft 17 expected returns

August 27, 2021  Author51bajie

Under the following rules, the predicted returns for each beginning hand in blackjack are listed below.

  • a total of eight decks
  • The dealer is on the soft 17th.
  • Except for aces, the player can resplit up to four hands.
  • There is no need to draw to split aces.


The first table is for when the player has two cards of different rankings and no dealer blackjack; When the player has two cards of the same rank but no dealer blackjack, the second table is used, and the third table is used when the dealer gets a blackjack. The second table features two splitting columns, one of which allows the player to double after a split and the other does not.

This table's values were generated using a recursive combinatorial program that considered the exact hand composition at each iteration. The computer only thought how many hands the player had already split when calculating splitting values, not the other cards drawn in those hands.

Return of the game is expected to be:
After the split, the player has the option to double: -0.4304%
After a split, a player may not double: -0.5721%

Player Can't Split
DEALER PLAYER STAND HIT DOUBLE PROBABILITY
A 2,A -66.64% -5.89% -62.07% 0.06%
A 3,A -66.62% -9.52% -62.10% 0.06%
A 3,2 -66.61% -28.05% -133.21% 0.06%
A 4,A -66.60% -13.32% -62.39% 0.06%
A 4,2 -66.59% -30.79% -130.36% 0.06%
A 4,3 -66.57% -31.43% -112.97% 0.06%
A 5,A -66.58% -17.06% -62.80% 0.06%
A 5,2 -66.56% -31.28% -112.96% 0.06%
A 5,3 -66.55% -19.94% -80.85% 0.06%
A 5,4 -66.52% -6.61% -42.81% 0.06%
A 6,A -47.86% -18.21% -53.63% 0.06%
A 6,2 -66.38% -20.05% -80.94% 0.06%
A 6,3 -66.36% -6.74% -42.93% 0.06%
A 6,4 -66.34% 8.14% -0.67% 0.06%
A 6,5 -66.32% 14.64% 12.45% 0.06%
A 7,A -10.03% -9.47% -36.24% 0.06%
A 7,2 -66.45% -6.76% -42.93% 0.06%
A 7,3 -66.43% 8.21% -0.77% 0.06%
A 7,4 -66.41% 14.63% 12.23% 0.06%
A 7,5 -66.39% -35.36% -83.02% 0.06%
A 7,6 -66.21% -40.26% -88.76% 0.06%
A 8,A 27.91% -0.71% -18.91% 0.06%
A 8,2 -66.52% 8.21% -0.94% 0.06%
A 8,3 -66.50% 14.62% 12.03% 0.06%
A 8,4 -66.48% -35.35% -83.13% 0.06%
A 8,5 -66.46% -40.11% -88.63% 0.06%
A 8,6 -66.28% -44.16% -93.30% 0.06%
A 8,7 -66.35% -47.71% -97.64% 0.06%
A 9,A 65.86% 7.98% -1.74% 0.06%
A 9,2 -66.59% 14.61% 11.84% 0.06%
A 9,3 -66.57% -35.34% -83.27% 0.06%
A 9,4 -66.55% -39.52% -87.54% 0.06%
A 9,5 -66.53% -44.00% -93.02% 0.06%
A 9,6 -66.35% -48.19% -98.60% 0.06%
A 9,7 -66.42% -51.45% -102.90% 0.06%
A 9,8 -47.49% -55.57% -111.14% 0.06%
A 10,A 150.00% 14.41% 11.32% 0.25%
A 10,2 -66.78% -35.03% -82.71% 0.25%
A 10,3 -66.76% -39.65% -87.80% 0.25%
A 10,4 -66.74% -44.06% -93.17% 0.25%
A 10,5 -66.72% -48.22% -98.64% 0.25%
A 10,6 -66.54% -51.61% -103.23% 0.25%
A 10,7 -47.67% -55.71% -111.42% 0.25%
A 10,8 -9.80% -62.73% -125.46% 0.25%
A 10,9 28.13% -72.69% -145.38% 0.25%
2 2,A -29.16% 4.58% -6.78% 0.09%
2 3,A -29.16% 2.17% -6.83% 0.09%
2 3,2 -29.26% -12.85% -58.51% 0.09%
2 4,A -29.13% -0.15% -7.10% 0.09%
2 4,2 -29.23% -14.17% -56.31% 0.09%
2 4,3 -29.23% -11.03% -43.41% 0.09%
2 5,A -28.96% -2.24% -7.30% 0.09%
2 5,2 -29.06% -10.81% -43.16% 0.09%
2 5,3 -29.05% -2.08% -19.96% 0.09%
2 5,4 -29.03% 7.70% 6.79% 0.09%
2 6,A -15.05% 0.04% -0.47% 0.09%
2 6,2 -29.09% -2.06% -19.95% 0.09%
2 6,3 -29.09% 7.67% 6.75% 0.09%
2 6,4 -29.07% 18.68% 36.79% 0.09%
2 6,5 -28.89% 24.39% 48.22% 0.09%
2 7,A 12.34% 6.32% 12.07% 0.09%
2 7,2 -29.13% 7.57% 6.79% 0.09%
2 7,3 -29.13% 18.63% 36.70% 0.09%
2 7,4 -29.10% 24.25% 47.92% 0.09%
2 7,5 -28.93% -25.33% -50.66% 0.09%
2 7,6 -28.96% -31.07% -62.14% 0.09%
2 8,A 38.80% 12.34% 24.12% 0.09%
2 8,2 -29.17% 18.59% 36.64% 0.09%
2 8,3 -29.16% 24.18% 47.80% 0.09%
2 8,4 -29.14% -25.41% -50.83% 0.09%
2 8,5 -28.96% -31.06% -62.12% 0.09%
2 8,6 -29.00% -36.23% -72.46% 0.09%
2 8,7 -29.04% -41.36% -82.71% 0.09%
2 9,A 64.18% 18.33% 36.12% 0.09%
2 9,2 -29.22% 24.12% 47.68% 0.09%
2 9,3 -29.21% -25.49% -50.99% 0.09%
2 9,4 -29.19% -30.60% -61.19% 0.09%
2 9,5 -29.01% -36.18% -72.36% 0.09%
2 9,6 -29.05% -41.82% -83.65% 0.09%
2 9,7 -29.09% -46.93% -93.85% 0.09%
2 9,8 -15.11% -53.55% -107.10% 0.09%
2 10,A 150.00% 23.94% 47.25% 0.37%
2 10,2 -29.51% -25.22% -50.45% 0.36%
2 10,3 -29.50% -30.73% -61.46% 0.37%
2 10,4 -29.48% -36.29% -72.58% 0.37%
2 10,5 -29.31% -41.89% -83.78% 0.37%
2 10,6 -29.34% -47.03% -94.07% 0.37%
2 10,7 -15.36% -53.64% -107.28% 0.37%
2 10,8 12.13% -62.37% -124.73% 0.37%
2 10,9 38.62% -73.15% -146.31% 0.37%
3 2,A -25.06% 7.38% -0.24% 0.09%
3 3,A -25.04% 5.01% -0.43% 0.09%
3 3,2 -25.13% -9.53% -50.26% 0.09%
3 4,A -24.86% 2.84% -0.58% 0.09%
3 4,2 -24.95% -10.69% -47.85% 0.09%
3 4,3 -24.93% -7.67% -35.47% 0.09%
3 5,A -24.83% 0.76% -0.86% 0.09%
3 5,2 -24.92% -7.46% -35.34% 0.09%
3 5,3 -24.90% 0.97% -12.92% 0.09%
3 5,4 -24.72% 10.62% 13.02% 0.09%
3 6,A -11.43% 2.98% 5.73% 0.09%
3 6,2 -24.96% 1.00% -12.91% 0.09%
3 6,3 -24.93% 10.57% 12.91% 0.09%
3 6,4 -24.76% 21.14% 42.05% 0.09%
3 6,5 -24.73% 26.67% 53.11% 0.09%
3 7,A 15.04% 9.06% 17.89% 0.09%
3 7,2 -24.99% 10.48% 12.96% 0.09%
3 7,3 -24.97% 21.09% 41.92% 0.09%
3 7,4 -24.80% 26.56% 52.89% 0.09%
3 7,5 -24.76% -23.24% -46.47% 0.09%
3 7,6 -24.80% -29.28% -58.57% 0.09%
3 8,A 40.61% 15.20% 30.16% 0.09%
3 8,2 -25.04% 21.02% 41.80% 0.09%
3 8,3 -25.02% 26.45% 52.65% 0.09%
3 8,4 -24.85% -23.32% -46.64% 0.09%
3 8,5 -24.81% -29.29% -58.59% 0.09%
3 8,6 -24.85% -34.86% -69.72% 0.09%
3 8,7 -24.89% -40.34% -80.67% 0.09%
3 9,A 64.96% 20.51% 40.75% 0.09%
3 9,2 -25.34% 26.16% 52.05% 0.09%
3 9,3 -25.31% -23.62% -47.23% 0.09%
3 9,4 -25.14% -28.98% -57.95% 0.09%
3 9,5 -25.11% -34.95% -69.89% 0.09%
3 9,6 -25.14% -40.93% -81.85% 0.09%
3 9,7 -25.18% -46.32% -92.63% 0.09%
3 9,8 -11.74% -53.21% -106.42% 0.09%
3 10,A 150.00% 26.16% 52.00% 0.37%
3 10,2 -25.40% -23.19% -46.39% 0.37%
3 10,3 -25.37% -29.02% -58.03% 0.36%
3 10,4 -25.20% -34.95% -69.90% 0.37%
3 10,5 -25.17% -40.90% -81.80% 0.37%
3 10,6 -25.20% -46.35% -92.70% 0.37%
3 10,7 -11.74% -53.23% -106.45% 0.37%
3 10,8 14.80% -62.16% -124.33% 0.37%
3 10,9 40.20% -72.62% -145.24% 0.37%
4 2,A -20.78% 10.34% 6.56% 0.09%
4 3,A -20.61% 8.13% 6.48% 0.09%
4 3,2 -20.68% -5.89% -41.36% 0.09%
4 4,A -20.58% 5.94% 6.14% 0.09%
4 4,2 -20.64% -7.07% -39.28% 0.09%
4 4,3 -20.47% -3.99% -27.01% 0.09%
4 5,A -20.55% 3.95% 5.86% 0.09%
4 5,2 -20.62% -3.91% -27.19% 0.09%
4 5,3 -20.44% 4.45% -5.38% 0.09%
4 5,4 -20.41% 13.61% 19.53% 0.09%
4 6,A -7.54% 6.14% 12.27% 0.09%
4 6,2 -20.65% 4.38% -5.59% 0.09%
4 6,3 -20.48% 13.57% 19.47% 0.09%
4 6,4 -20.44% 23.77% 47.55% 0.09%
4 6,5 -20.41% 29.10% 58.21% 0.09%
4 7,A 17.91% 12.29% 24.58% 0.09%
4 7,2 -20.70% 13.36% 19.26% 0.09%
4 7,3 -20.53% 23.70% 47.40% 0.09%
4 7,4 -20.49% 29.00% 57.99% 0.09%
4 7,5 -20.47% -21.11% -42.22% 0.09%
4 7,6 -20.50% -27.47% -54.94% 0.09%
4 8,A 42.25% 17.69% 35.39% 0.09%
4 8,2 -20.99% 23.32% 46.64% 0.09%
4 8,3 -20.82% 28.66% 57.32% 0.09%
4 8,4 -20.79% -21.36% -42.73% 0.09%
4 8,5 -20.76% -27.64% -55.27% 0.09%
4 8,6 -20.79% -33.53% -67.06% 0.09%
4 8,7 -20.85% -39.38% -78.76% 0.09%
4 9,A 66.01% 23.03% 46.06% 0.09%
4 9,2 -21.05% 28.51% 57.01% 0.09%
4 9,3 -20.88% -21.49% -42.98% 0.09%
4 9,4 -20.85% -27.19% -54.38% 0.09%
4 9,5 -20.82% -33.51% -67.02% 0.09%
4 9,6 -20.85% -39.85% -79.71% 0.09%
4 9,7 -20.91% -45.59% -91.19% 0.09%
4 9,8 -8.10% -52.86% -105.72% 0.09%
4 10,A 150.00% 28.48% 56.95% 0.37%
4 10,2 -21.11% -21.12% -42.23% 0.37%
4 10,3 -20.94% -27.22% -54.44% 0.37%
4 10,4 -20.90% -33.51% -67.02% 0.36%
4 10,5 -20.88% -39.83% -79.66% 0.37%
4 10,6 -20.91% -45.61% -91.22% 0.37%
4 10,7 -7.86% -52.80% -105.60% 0.37%
4 10,8 17.45% -61.50% -123.01% 0.37%
4 10,9 42.08% -72.51% -145.03% 0.37%
5 2,A -16.14% 13.63% 13.64% 0.09%
5 3,A -16.10% 11.48% 13.53% 0.09%
5 3,2 -16.00% -1.88% -32.00% 0.09%
5 4,A -16.08% 9.37% 13.18% 0.09%
5 4,2 -15.97% -2.99% -30.07% 0.09%
5 4,3 -15.94% -0.08% -18.67% 0.09%
5 5,A -16.05% 7.43% 12.83% 0.09%
5 5,2 -15.94% 0.01% -18.76% 0.09%
5 5,3 -15.91% 7.89% 2.08% 0.09%
5 5,4 -15.88% 16.82% 26.27% 0.09%
5 6,A -3.92% 9.70% 19.39% 0.09%
5 6,2 -15.99% 7.78% 1.82% 0.09%
5 6,3 -15.96% 16.70% 26.03% 0.09%
5 6,4 -15.93% 26.58% 53.16% 0.09%
5 6,5 -15.90% 31.73% 63.46% 0.09%
5 7,A 20.22% 15.09% 30.19% 0.09%
5 7,2 -16.29% 16.26% 25.37% 0.09%
5 7,3 -16.25% 26.24% 52.47% 0.09%
5 7,4 -16.23% 31.38% 62.75% 0.09%
5 7,5 -16.20% -19.15% -38.29% 0.09%
5 7,6 -16.25% -25.87% -51.75% 0.09%
5 8,A 44.20% 20.59% 41.18% 0.09%
5 8,2 -16.35% 26.10% 52.20% 0.09%
5 8,3 -16.32% 31.24% 62.47% 0.09%
5 8,4 -16.29% -19.25% -38.50% 0.09%
5 8,5 -16.26% -25.89% -51.78% 0.09%
5 8,6 -16.31% -32.10% -64.19% 0.09%
5 8,7 -16.61% -38.40% -76.79% 0.09%
5 9,A 67.17% 25.76% 51.52% 0.09%
5 9,2 -16.40% 31.11% 62.22% 0.09%
5 9,3 -16.37% -19.37% -38.75% 0.09%
5 9,4 -16.34% -25.44% -50.89% 0.09%
5 9,5 -16.31% -32.06% -64.12% 0.09%
5 9,6 -16.37% -38.76% -77.51% 0.09%
5 9,7 -16.66% -44.98% -89.96% 0.09%
5 9,8 -4.48% -51.94% -103.88% 0.09%
5 10,A 150.00% 31.02% 62.04% 0.37%
5 10,2 -16.45% -18.98% -37.96% 0.37%
5 10,3 -16.42% -25.48% -50.95% 0.37%
5 10,4 -16.39% -32.06% -64.13% 0.37%
5 10,5 -16.36% -38.72% -77.44% 0.36%
5 10,6 -16.42% -44.90% -89.80% 0.37%
5 10,7 -4.47% -51.94% -103.88% 0.37%
5 10,8 19.99% -61.23% -122.47% 0.37%
5 10,9 44.05% -72.40% -144.79% 0.37%
6 2,A -14.89% 16.24% 18.59% 0.09%
6 3,A -14.87% 14.00% 18.47% 0.09%
6 3,2 -14.99% 0.13% -29.98% 0.09%
6 4,A -14.84% 11.84% 18.21% 0.09%
6 4,2 -14.96% -0.97% -27.40% 0.09%
6 4,3 -14.94% 3.28% -12.88% 0.09%
6 5,A -14.82% 10.08% 18.41% 0.09%
6 5,2 -14.94% 3.40% -12.90% 0.09%
6 5,3 -14.91% 12.07% 9.91% 0.09%
6 5,4 -14.89% 20.39% 33.18% 0.09%
6 6,A 1.20% 12.90% 25.79% 0.09%
6 6,2 -15.23% 11.73% 9.20% 0.09%
6 6,3 -15.20% 20.03% 32.47% 0.09%
6 6,4 -15.18% 29.31% 58.62% 0.09%
6 6,5 -15.15% 33.94% 67.88% 0.09%
6 7,A 28.12% 19.13% 38.25% 0.09%
6 7,2 -15.29% 19.80% 32.24% 0.09%
6 7,3 -15.26% 29.16% 58.31% 0.09%
6 7,4 -15.23% 33.77% 67.53% 0.09%
6 7,5 -15.21% -17.13% -34.27% 0.09%
6 7,6 -15.50% -24.08% -48.15% 0.09%
6 8,A 49.44% 24.01% 48.01% 0.09%
6 8,2 -15.34% 29.02% 58.05% 0.09%
6 8,3 -15.31% 33.64% 67.28% 0.09%
6 8,4 -15.28% -17.21% -34.42% 0.09%
6 8,5 -15.26% -23.94% -47.88% 0.09%
6 8,6 -15.55% -30.33% -60.66% 0.09%
6 8,7 -15.61% -36.53% -73.06% 0.09%
6 9,A 70.30% 28.70% 57.39% 0.09%
6 9,2 -15.38% 33.53% 67.06% 0.09%
6 9,3 -15.35% -17.32% -34.64% 0.09%
6 9,4 -15.33% -23.47% -46.94% 0.09%
6 9,5 -15.31% -30.16% -60.33% 0.09%
6 9,6 -15.60% -36.99% -73.98% 0.09%
6 9,7 -15.65% -42.69% -85.37% 0.09%
6 9,8 0.92% -50.57% -101.14% 0.09%
6 10,A 150.00% 33.46% 66.92% 0.37%
6 10,2 -15.44% -16.92% -33.84% 0.37%
6 10,3 -15.42% -23.49% -46.98% 0.37%
6 10,4 -15.39% -30.17% -60.33% 0.37%
6 10,5 -15.37% -36.84% -73.68% 0.37%
6 10,6 -15.65% -42.68% -85.36% 0.36%
6 10,7 0.92% -50.57% -101.14% 0.37%
6 10,8 28.16% -60.49% -120.99% 0.37%
6 10,9 49.46% -72.07% -144.14% 0.37%
7 2,A -47.37% 12.07% -18.06% 0.09%
7 3,A -47.35% 7.73% -18.26% 0.09%
7 3,2 -47.46% -11.95% -94.91% 0.09%
7 4,A -47.32% 3.66% -17.89% 0.09%
7 4,2 -47.43% -15.33% -89.12% 0.09%
7 4,3 -47.41% -6.90% -58.37% 0.09%
7 5,A -47.43% -0.71% -18.42% 0.09%
7 5,2 -47.54% -6.87% -58.64% 0.09%
7 5,3 -47.51% 8.34% -18.09% 0.09%
7 5,4 -47.49% 17.52% 11.47% 0.09%
7 6,A -10.46% 5.45% -1.01% 0.09%
7 6,2 -47.60% 8.35% -18.26% 0.09%
7 6,3 -47.57% 17.50% 11.30% 0.09%
7 6,4 -47.55% 26.04% 40.26% 0.09%
7 6,5 -47.66% 29.31% 46.81% 0.09%
7 7,A 40.13% 17.16% 22.27% 0.09%
7 7,2 -47.65% 17.37% 11.13% 0.09%
7 7,3 -47.62% 25.95% 39.92% 0.09%
7 7,4 -47.60% 29.27% 46.65% 0.09%
7 7,5 -47.71% -21.79% -51.52% 0.09%
7 7,6 -47.76% -27.61% -60.17% 0.09%
7 8,A 61.58% 22.09% 32.04% 0.09%
7 8,2 -47.69% 25.82% 39.54% 0.09%
7 8,3 -47.67% 29.22% 46.41% 0.09%
7 8,4 -47.64% -21.67% -51.34% 0.09%
7 8,5 -47.75% -27.59% -60.12% 0.09%
7 8,6 -47.81% -32.44% -67.58% 0.09%
7 8,7 -47.86% -36.44% -73.90% 0.09%
7 9,A 77.33% 25.52% 38.76% 0.09%
7 9,2 -47.76% 29.18% 46.21% 0.09%
7 9,3 -47.73% -21.69% -51.52% 0.09%
7 9,4 -47.71% -26.96% -58.88% 0.09%
7 9,5 -47.81% -32.44% -67.49% 0.09%
7 9,6 -47.87% -36.90% -74.83% 0.09%
7 9,7 -47.92% -41.00% -82.01% 0.09%
7 9,8 -10.90% -47.94% -95.89% 0.09%
7 10,A 150.00% 29.15% 46.35% 0.37%
7 10,2 -47.50% -21.27% -50.53% 0.37%
7 10,3 -47.48% -26.92% -58.68% 0.37%
7 10,4 -47.45% -32.37% -67.27% 0.37%
7 10,5 -47.56% -36.91% -74.74% 0.37%
7 10,6 -47.62% -41.02% -82.03% 0.37%
7 10,7 -10.84% -47.97% -95.93% 0.36%
7 10,8 39.82% -58.83% -117.66% 0.37%
7 10,9 61.53% -71.34% -142.69% 0.37%
8 2,A -51.01% 5.24% -31.42% 0.09%
8 3,A -50.99% 1.57% -30.74% 0.09%
8 3,2 -51.08% -18.74% -102.16% 0.09%
8 4,A -51.09% -2.81% -31.43% 0.09%
8 4,2 -51.19% -21.91% -100.38% 0.09%
8 4,3 -51.16% -21.26% -84.73% 0.09%
8 5,A -51.09% -6.87% -31.65% 0.09%
8 5,2 -51.18% -21.14% -84.77% 0.09%
8 5,3 -51.16% -5.96% -44.90% 0.09%
8 5,4 -51.27% 9.95% -2.29% 0.09%
8 6,A -38.24% -7.20% -25.23% 0.09%
8 6,2 -51.23% -5.94% -45.05% 0.09%
8 6,3 -51.21% 10.05% -2.17% 0.09%
8 6,4 -51.32% 19.92% 29.04% 0.09%
8 6,5 -51.31% 23.01% 35.28% 0.09%
8 7,A 10.75% 4.07% -2.86% 0.09%
8 7,2 -51.28% 9.94% -2.29% 0.09%
8 7,3 -51.25% 20.00% 29.11% 0.09%
8 7,4 -51.36% 22.91% 34.95% 0.09%
8 7,5 -51.35% -27.73% -62.67% 0.09%
8 7,6 -51.40% -33.19% -70.87% 0.09%
8 8,A 59.54% 15.27% 19.43% 0.09%
8 8,2 -51.34% 19.89% 28.73% 0.09%
8 8,3 -51.32% 22.89% 34.82% 0.09%
8 8,4 -51.42% -27.72% -62.78% 0.09%
8 8,5 -51.42% -33.10% -70.71% 0.09%
8 8,6 -51.47% -37.16% -76.72% 0.09%
8 8,7 -51.51% -41.24% -83.40% 0.09%
8 9,A 79.09% 19.48% 27.98% 0.09%
8 9,2 -51.09% 22.82% 34.79% 0.09%
8 9,3 -51.07% -27.69% -62.61% 0.09%
8 9,4 -51.17% -32.54% -69.49% 0.09%
8 9,5 -51.17% -37.16% -76.56% 0.09%
8 9,6 -51.22% -41.73% -84.32% 0.09%
8 9,7 -51.26% -45.48% -90.97% 0.09%
8 9,8 -38.61% -50.24% -100.48% 0.09%
8 10,A 150.00% 22.89% 34.85% 0.37%
8 10,2 -51.14% -27.19% -61.69% 0.37%
8 10,3 -51.11% -32.42% -69.27% 0.37%
8 10,4 -51.22% -37.02% -76.31% 0.37%
8 10,5 -51.21% -41.69% -84.18% 0.37%
8 10,6 -51.26% -45.45% -90.89% 0.37%
8 10,7 -38.37% -50.22% -100.45% 0.37%
8 10,8 10.45% -58.80% -117.60% 0.36%
8 10,9 59.18% -71.17% -142.34% 0.37%
9 2,A -54.01% -3.50% -44.65% 0.09%
9 3,A -54.12% -7.34% -44.89% 0.09%
9 3,2 -54.20% -26.61% -108.39% 0.09%
9 4,A -54.11% -11.24% -45.23% 0.09%
9 4,2 -54.19% -29.41% -106.52% 0.09%
9 4,3 -54.30% -28.77% -95.58% 0.09%
9 5,A -54.11% -15.07% -45.59% 0.09%
9 5,2 -54.18% -28.54% -95.35% 0.09%
9 5,3 -54.29% -21.11% -71.64% 0.09%
9 5,4 -54.29% -5.22% -29.83% 0.09%
9 6,A -42.12% -14.79% -39.44% 0.09%
9 6,2 -54.23% -21.00% -71.52% 0.09%
9 6,3 -54.34% -5.21% -29.94% 0.09%
9 6,4 -54.33% 11.67% 14.69% 0.09%
9 6,5 -54.32% 15.76% 22.95% 0.09%
9 7,A -18.28% -9.90% -28.62% 0.09%
9 7,2 -54.29% -5.22% -29.80% 0.09%
9 7,3 -54.40% 11.66% 14.54% 0.09%
9 7,4 -54.39% 15.72% 22.73% 0.09%
9 7,5 -54.39% -34.58% -74.80% 0.09%
9 7,6 -54.43% -39.08% -81.51% 0.09%
9 8,A 28.76% 0.76% -7.16% 0.09%
9 8,2 -54.04% 11.68% 14.76% 0.09%
9 8,3 -54.15% 15.61% 22.63% 0.09%
9 8,4 -54.14% -34.65% -74.88% 0.09%
9 8,5 -54.14% -39.03% -81.26% 0.09%
9 8,6 -54.18% -43.16% -87.91% 0.09%
9 8,7 -54.25% -46.82% -94.18% 0.09%
9 9,A 75.92% 11.40% 14.00% 0.09%
9 9,2 -54.09% 15.64% 22.60% 0.09%
9 9,3 -54.19% -34.62% -74.96% 0.09%
9 9,4 -54.19% -38.45% -80.20% 0.09%
9 9,5 -54.18% -43.04% -87.61% 0.09%
9 9,6 -54.23% -47.25% -95.05% 0.09%
9 9,7 -54.29% -50.61% -101.22% 0.09%
9 9,8 -42.18% -55.11% -110.21% 0.09%
9 10,A 150.00% 15.71% 22.64% 0.37%
9 10,2 -54.13% -34.05% -73.85% 0.37%
9 10,3 -54.23% -38.38% -80.12% 0.37%
9 10,4 -54.23% -42.89% -87.36% 0.37%
9 10,5 -54.22% -47.20% -94.89% 0.37%
9 10,6 -54.27% -50.57% -101.15% 0.37%
9 10,7 -42.24% -55.05% -110.10% 0.37%
9 10,8 -18.47% -61.38% -122.75% 0.37%
9 10,9 28.48% -71.35% -142.69% 0.36%
10 2,A -54.03% -10.29% -50.99% 0.34%
10 3,A -54.02% -13.77% -51.01% 0.34%
10 3,2 -54.12% -31.29% -108.25% 0.34%
10 4,A -54.01% -17.34% -51.19% 0.34%
10 4,2 -54.12% -33.88% -106.36% 0.34%
10 4,3 -54.11% -32.09% -95.13% 0.34%
10 5,A -54.00% -20.95% -51.67% 0.34%
10 5,2 -54.11% -31.94% -95.13% 0.34%
10 5,3 -54.10% -24.96% -74.55% 0.34%
10 5,4 -54.10% -15.12% -46.32% 0.34%
10 6,A -41.96% -19.59% -45.55% 0.34%
10 6,2 -54.18% -24.96% -74.67% 0.34%
10 6,3 -54.17% -15.17% -46.43% 0.34%
10 6,4 -54.16% 2.64% -0.64% 0.34%
10 6,5 -54.16% 11.88% 17.88% 0.34%
10 7,A -17.92% -14.31% -34.38% 0.34%
10 7,2 -53.91% -15.31% -46.30% 0.34%
10 7,3 -53.90% 2.59% -0.60% 0.34%
10 7,4 -53.89% 11.83% 17.87% 0.34%
10 7,5 -53.88% -38.15% -79.62% 0.34%
10 7,6 -53.95% -42.82% -87.26% 0.34%
10 8,A 6.33% -8.77% -23.41% 0.34%
10 8,2 -53.95% 2.60% -0.69% 0.34%
10 8,3 -53.95% 11.82% 17.76% 0.34%
10 8,4 -53.94% -38.17% -79.80% 0.34%
10 8,5 -53.93% -42.78% -87.25% 0.34%
10 8,6 -54.00% -46.62% -93.81% 0.34%
10 8,7 -53.73% -50.09% -100.19% 0.34%
10 9,A 55.46% 2.33% -1.37% 0.34%
10 9,2 -54.00% 11.76% 17.54% 0.34%
10 9,3 -53.99% -38.20% -79.98% 0.34%
10 9,4 -53.98% -42.21% -86.17% 0.34%
10 9,5 -53.97% -46.47% -93.49% 0.34%
10 9,6 -54.04% -50.51% -101.08% 0.34%
10 9,7 -53.77% -53.65% -107.30% 0.34%
10 9,8 -41.62% -58.13% -116.27% 0.34%
10 10,A 150.00% 11.77% 17.48% 1.35%
10 10,2 -54.04% -37.70% -79.01% 1.34%
10 10,3 -54.03% -42.15% -86.09% 1.34%
10 10,4 -54.02% -46.39% -93.36% 1.34%
10 10,5 -54.01% -50.40% -100.81% 1.34%
10 10,6 -54.08% -53.60% -107.20% 1.34%
10 10,7 -41.88% -58.12% -116.23% 1.34%
10 10,8 -17.55% -64.47% -128.95% 1.34%
10 10,9 6.79% -72.72% -145.43% 1.34%


Player Can Split
DEALER PLAYER STAND HIT DOUBLE SPLIT
(DAS=NO)
SPLIT
(DAS=YES)
PROBABILITY
A A,A -66.66% -2.18% -62.13% 12.26% 12.26% 0.03%
A 2,2 -66.62% -25.40% -133.25% -43.51% -43.51% 0.03%
A 3,3 -66.59% -30.79% -130.36% -48.33% -48.33% 0.03%
A 4,4 -66.55% -19.83% -80.86% -56.29% -56.29% 0.03%
A 5,5 -66.50% 8.25% -0.53% -67.52% -67.52% 0.03%
A 6,6 -66.13% -35.50% -83.06% -65.50% -65.50% 0.03%
A 7,7 -66.28% -44.65% -94.35% -64.73% -64.73% 0.03%
A 8,8 -66.42% -51.45% -102.89% -36.65% -36.65% 0.03%
A 9,9 -9.49% -62.62% -125.24% -12.85% -12.85% 0.03%
A 10,10 65.48% -85.59% -171.17% -31.17% -31.17% 0.51%
2 A,A -29.06% 8.33% -6.52% 48.20% 48.20% 0.04%
2 2,2 -29.26% -11.48% -58.52% -15.46% -7.94% 0.04%
2 3,3 -29.25% -14.18% -56.34% -21.02% -13.44% 0.04%
2 4,4 -29.21% -2.03% -20.13% -26.43% -18.83% 0.04%
2 5,5 -28.85% 18.75% 36.96% -32.56% -28.12% 0.04%
2 6,6 -28.93% -25.33% -50.67% -27.74% -20.08% 0.04%
2 7,7 -29.00% -36.75% -73.50% -19.87% -12.26% 0.04%
2 8,8 -29.07% -46.91% -93.82% 0.54% 8.01% 0.04%
2 9,9 12.36% -62.31% -124.61% 15.64% 19.77% 0.04%
2 10,10 63.84% -85.42% -170.84% 10.16% 10.16% 0.73%
3 A,A -24.97% 10.54% 0.04% 52.93% 52.93% 0.04%
3 2,2 -25.15% -8.22% -50.30% -9.80% -0.84% 0.04%
3 3,3 -25.11% -10.80% -48.14% -14.03% -5.10% 0.04%
3 4,4 -24.76% 1.07% -12.91% -18.81% -9.73% 0.04%
3 5,5 -24.69% 21.20% 42.16% -25.07% -19.65% 0.04%
3 6,6 -24.76% -23.24% -46.48% -20.05% -10.39% 0.04%
3 7,7 -24.84% -35.35% -70.71% -12.77% -3.19% 0.04%
3 8,8 -24.94% -46.22% -92.44% 6.87% 15.27% 0.04%
3 9,9 14.57% -62.21% -124.42% 20.78% 25.42% 0.04%
3 10,10 64.86% -85.40% -170.79% 18.45% 18.45% 0.73%
4 A,A -20.71% 12.84% 6.80% 57.85% 57.85% 0.04%
4 2,2 -20.85% -4.74% -41.70% -3.81% 6.70% 0.04%
4 3,3 -20.50% -6.98% -39.03% -6.13% 4.49% 0.04%
4 4,4 -20.44% 4.57% -5.37% -10.97% -0.24% 0.04%
4 5,5 -20.38% 23.80% 47.60% -17.06% -10.19% 0.04%
4 6,6 -20.45% -21.09% -42.19% -11.99% -0.16% 0.04%
4 7,7 -20.55% -33.91% -67.82% -5.18% 6.67% 0.04%
4 8,8 -21.14% -45.67% -91.35% 12.94% 22.29% 0.04%
4 9,9 17.45% -61.50% -123.01% 27.04% 32.14% 0.04%
4 10,10 65.91% -85.37% -170.74% 27.07% 27.07% 0.73%
5 A,A -16.24% 15.97% 13.71% 62.91% 62.91% 0.04%
5 2,2 -16.03% -0.68% -32.06% 4.70% 16.85% 0.04%
5 3,3 -15.97% -2.99% -30.05% 2.14% 14.74% 0.04%
5 4,4 -15.91% 8.04% 2.15% -2.55% 10.44% 0.04%
5 5,5 -15.85% 26.67% 53.34% -8.19% 0.44% 0.04%
5 6,6 -15.96% -18.98% -37.95% -3.55% 10.50% 0.04%
5 7,7 -16.55% -32.72% -65.44% 1.82% 15.71% 0.04%
5 8,8 -16.67% -44.98% -89.96% 19.92% 30.24% 0.04%
5 9,9 19.99% -61.23% -122.47% 33.79% 39.36% 0.04%
5 10,10 67.08% -85.34% -170.69% 36.56% 36.56% 0.73%
6 A,A -14.77% 18.75% 18.80% 67.86% 67.86% 0.04%
6 2,2 -15.02% 1.38% -30.03% 9.57% 23.73% 0.04%
6 3,3 -14.96% -0.97% -27.40% 6.79% 21.31% 0.04%
6 4,4 -14.91% 12.20% 9.94% 1.50% 16.40% 0.04%
6 5,5 -14.86% 29.65% 59.30% -4.24% 5.82% 0.04%
6 6,6 -15.44% -17.30% -34.60% -0.23% 15.75% 0.04%
6 7,7 -15.56% -30.84% -61.68% 9.41% 24.87% 0.04%
6 8,8 -15.65% -42.69% -85.37% 29.41% 40.69% 0.04%
6 9,9 28.15% -60.49% -120.99% 40.60% 46.61% 0.04%
6 10,10 70.31% -85.26% -170.52% 44.76% 44.76% 0.73%
7 A,A -47.27% 16.46% -17.83% 47.24% 47.24% 0.04%
7 2,2 -47.48% -8.87% -94.96% -4.86% 0.82% 0.04%
7 3,3 -47.43% -15.33% -89.12% -10.85% -5.16% 0.04%
7 4,4 -47.38% 8.55% -17.83% -22.59% -16.82% 0.04%
7 5,5 -47.60% 25.95% 40.17% -32.97% -29.67% 0.04%
7 6,6 -47.71% -21.86% -51.67% -31.38% -25.59% 0.04%
7 7,7 -47.82% -32.91% -68.59% -10.50% -4.89% 0.04%
7 8,8 -47.90% -41.00% -82.01% 26.46% 31.95% 0.04%
7 9,9 39.96% -58.82% -117.64% 33.45% 36.44% 0.04%
7 10,10 77.23% -85.08% -170.16% 26.43% 26.43% 0.73%
8 A,A -50.92% 9.47% -31.22% 35.74% 35.74% 0.04%
8 2,2 -51.11% -15.74% -102.21% -21.50% -17.68% 0.04%
8 3,3 -51.06% -21.87% -100.12% -26.97% -23.10% 0.04%
8 4,4 -51.27% -5.93% -45.13% -36.51% -32.59% 0.04%
8 5,5 -51.26% 19.91% 29.14% -48.13% -45.82% 0.04%
8 6,6 -51.36% -27.73% -62.68% -45.80% -41.87% 0.04%
8 7,7 -51.45% -37.63% -77.72% -42.96% -39.13% 0.04%
8 8,8 -51.58% -45.47% -90.93% -6.41% -2.76% 0.04%
8 9,9 10.09% -58.81% -117.63% 20.99% 23.11% 0.04%
8 10,10 79.08% -85.05% -170.09% 1.57% 1.57% 0.73%
9 A,A -53.94% -0.02% -45.23% 23.52% 23.52% 0.04%
9 2,2 -54.09% -23.86% -108.18% -40.40% -38.51% 0.04%
9 3,3 -54.30% -29.46% -106.75% -45.15% -43.30% 0.04%
9 4,4 -54.29% -20.99% -71.64% -52.81% -50.93% 0.04%
9 5,5 -54.28% 11.66% 14.80% -65.11% -63.75% 0.04%
9 6,6 -54.37% -34.53% -74.68% -62.33% -60.43% 0.04%
9 7,7 -54.49% -43.62% -89.00% -59.26% -57.47% 0.04%
9 8,8 -54.00% -50.66% -101.32% -40.79% -38.94% 0.04%
9 9,9 -18.47% -61.39% -122.79% -9.29% -8.07% 0.04%
9 10,10 75.66% -84.98% -169.96% -26.91% -26.91% 0.73%
10 A,A -53.92% -6.72% -50.85% 18.14% 18.14% 0.16%
10 2,2 -54.13% -28.76% -108.26% -51.33% -50.26% 0.16%
10 3,3 -54.12% -33.85% -106.36% -55.93% -54.83% 0.16%
10 4,4 -54.10% -24.84% -74.55% -63.21% -62.09% 0.16%
10 5,5 -54.09% 2.67% -0.52% -74.12% -73.00% 0.16%
10 6,6 -54.22% -38.17% -79.79% -72.11% -71.01% 0.16%
10 7,7 -53.68% -47.21% -94.97% -66.49% -65.36% 0.16%
10 8,8 -53.78% -53.65% -107.30% -48.77% -47.68% 0.16%
10 9,9 -17.29% -64.49% -128.98% -32.22% -31.19% 0.16%
10 10,10 55.80% -84.76% -169.52% -42.00% -42.00% 2.64%