Blackjack eight decks, dealer hits on soft 17 expected returns

Blackjack eight decks, dealer hits on soft 17 expected returns

Blackjack eight decks, dealer hits on soft 17 expected returns

August 27, 2021  Authorbjbajian

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

  • a total of eight decks
  • On a soft 17, the dealer hits.
  • 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 has two splitting columns, one in which the player can double following a split and the other player cannot.

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, no other cards drawn in those hands.

Return of the game is expected to be:
After the split, the player has the option to double: -0.6444%
After a split, a player may not double: -0.7888%

Player Can't Split
DEALER PLAYER STAND HIT DOUBLE PROBABILITY
A 2,A -59.76% -10.01% -58.58% 0.06%
A 3,A -59.73% -13.49% -58.54% 0.06%
A 3,2 -59.71% -31.74% -119.42% 0.06%
A 4,A -59.71% -17.12% -58.78% 0.06%
A 4,2 -59.68% -34.34% -118.12% 0.06%
A 4,3 -59.66% -35.23% -108.60% 0.06%
A 5,A -59.72% -20.76% -59.22% 0.06%
A 5,2 -59.69% -35.12% -108.67% 0.06%
A 5,3 -59.66% -26.53% -83.13% 0.06%
A 5,4 -59.64% -12.42% -45.33% 0.06%
A 6,A -51.46% -22.10% -54.94% 0.06%
A 6,2 -59.65% -26.53% -83.21% 0.06%
A 6,3 -59.62% -12.45% -45.43% 0.06%
A 6,4 -59.59% 3.42% -2.84% 0.06%
A 6,5 -59.60% 10.72% 11.88% 0.06%
A 7,A -22.55% -15.99% -41.79% 0.06%
A 7,2 -59.58% -12.62% -45.54% 0.06%
A 7,3 -59.55% 3.36% -2.99% 0.06%
A 7,4 -59.52% 10.66% 11.75% 0.06%
A 7,5 -59.53% -38.67% -83.72% 0.06%
A 7,6 -59.49% -43.28% -90.50% 0.06%
A 8,A 18.91% -6.41% -22.80% 0.06%
A 8,2 -59.66% 3.36% -3.17% 0.06%
A 8,3 -59.63% 10.62% 11.49% 0.06%
A 8,4 -59.60% -38.65% -83.85% 0.06%
A 8,5 -59.61% -43.18% -90.40% 0.06%
A 8,6 -59.57% -46.99% -96.13% 0.06%
A 8,7 -59.50% -50.40% -101.63% 0.06%
A 9,A 60.45% 3.11% -3.96% 0.06%
A 9,2 -59.74% 10.59% 11.25% 0.06%
A 9,3 -59.71% -38.66% -84.04% 0.06%
A 9,4 -59.68% -42.60% -89.32% 0.06%
A 9,5 -59.69% -46.87% -95.88% 0.06%
A 9,6 -59.65% -50.82% -102.50% 0.06%
A 9,7 -59.58% -53.95% -107.90% 0.06%
A 9,8 -51.27% -57.77% -115.54% 0.06%
A 10,A 150.00% 10.39% 10.73% 0.25%
A 10,2 -59.90% -38.36% -83.49% 0.25%
A 10,3 -59.88% -42.73% -89.63% 0.25%
A 10,4 -59.85% -46.89% -95.96% 0.25%
A 10,5 -59.86% -50.89% -102.58% 0.25%
A 10,6 -59.82% -54.05% -108.11% 0.25%
A 10,7 -51.42% -57.90% -115.81% 0.25%
A 10,8 -22.40% -63.97% -127.93% 0.25%
A 10,9 19.10% -73.24% -146.47% 0.25%
2 2,A -28.55% 4.59% -6.47% 0.09%
2 3,A -28.54% 2.23% -6.50% 0.09%
2 3,2 -28.62% -12.60% -57.24% 0.09%
2 4,A -28.53% -0.05% -6.78% 0.09%
2 4,2 -28.61% -13.89% -55.21% 0.09%
2 4,3 -28.60% -11.06% -43.01% 0.09%
2 5,A -28.34% -2.10% -6.96% 0.09%
2 5,2 -28.42% -10.83% -42.76% 0.09%
2 5,3 -28.42% -2.35% -20.16% 0.09%
2 5,4 -28.41% 7.49% 6.57% 0.09%
2 6,A -15.37% -0.06% -0.58% 0.09%
2 6,2 -28.46% -2.33% -20.15% 0.09%
2 6,3 -28.45% 7.46% 6.52% 0.09%
2 6,4 -28.44% 18.53% 36.60% 0.09%
2 6,5 -28.26% 24.31% 48.17% 0.09%
2 7,A 11.24% 6.03% 11.59% 0.09%
2 7,2 -28.50% 7.35% 6.56% 0.09%
2 7,3 -28.49% 18.48% 36.50% 0.09%
2 7,4 -28.48% 24.18% 47.88% 0.09%
2 7,5 -28.29% -25.36% -50.73% 0.09%
2 7,6 -28.33% -31.15% -62.30% 0.09%
2 8,A 38.01% 12.13% 23.78% 0.09%
2 8,2 -28.53% 18.44% 36.44% 0.09%
2 8,3 -28.53% 24.11% 47.75% 0.09%
2 8,4 -28.52% -25.45% -50.90% 0.09%
2 8,5 -28.33% -31.14% -62.28% 0.09%
2 8,6 -28.37% -36.36% -72.72% 0.09%
2 8,7 -28.41% -41.54% -83.07% 0.09%
2 9,A 63.70% 18.19% 35.92% 0.09%
2 9,2 -28.58% 24.05% 47.63% 0.09%
2 9,3 -28.58% -25.53% -51.06% 0.09%
2 9,4 -28.57% -30.68% -61.35% 0.09%
2 9,5 -28.38% -36.31% -72.62% 0.09%
2 9,6 -28.42% -42.00% -84.01% 0.09%
2 9,7 -28.46% -47.15% -94.30% 0.09%
2 9,8 -15.45% -53.75% -107.50% 0.09%
2 10,A 150.00% 23.86% 47.19% 0.37%
2 10,2 -28.87% -25.26% -50.52% 0.36%
2 10,3 -28.86% -30.81% -61.63% 0.37%
2 10,4 -28.86% -36.41% -72.83% 0.37%
2 10,5 -28.67% -42.07% -84.14% 0.37%
2 10,6 -28.71% -47.26% -94.51% 0.37%
2 10,7 -15.70% -53.84% -107.68% 0.37%
2 10,8 10.98% -62.48% -124.96% 0.37%
2 10,9 37.80% -73.20% -146.40% 0.37%
3 2,A -24.51% 7.39% 0.04% 0.09%
3 3,A -24.51% 5.06% -0.15% 0.09%
3 3,2 -24.58% -9.32% -49.16% 0.09%
3 4,A -24.32% 2.93% -0.28% 0.09%
3 4,2 -24.39% -10.44% -46.85% 0.09%
3 4,3 -24.38% -7.69% -35.12% 0.09%
3 5,A -24.29% 0.88% -0.57% 0.09%
3 5,2 -24.36% -7.48% -34.99% 0.09%
3 5,3 -24.35% 0.75% -13.10% 0.09%
3 5,4 -24.16% 10.42% 12.82% 0.09%
3 6,A -11.72% 2.89% 5.63% 0.09%
3 6,2 -24.40% 0.77% -13.09% 0.09%
3 6,3 -24.39% 10.39% 12.72% 0.09%
3 6,4 -24.20% 21.01% 41.87% 0.09%
3 6,5 -24.17% 26.60% 53.06% 0.09%
3 7,A 14.07% 8.81% 17.47% 0.09%
3 7,2 -24.43% 10.28% 12.76% 0.09%
3 7,3 -24.43% 20.96% 41.75% 0.09%
3 7,4 -24.24% 26.50% 52.85% 0.09%
3 7,5 -24.21% -23.26% -46.53% 0.09%
3 7,6 -24.24% -29.36% -58.71% 0.09%
3 8,A 39.91% 15.01% 29.87% 0.09%
3 8,2 -24.48% 20.89% 41.63% 0.09%
3 8,3 -24.48% 26.38% 52.61% 0.09%
3 8,4 -24.29% -23.35% -46.70% 0.09%
3 8,5 -24.26% -29.37% -58.73% 0.09%
3 8,6 -24.29% -34.97% -69.95% 0.09%
3 8,7 -24.33% -40.49% -80.99% 0.09%
3 9,A 64.54% 20.38% 40.58% 0.09%
3 9,2 -24.78% 26.09% 52.01% 0.09%
3 9,3 -24.77% -23.65% -47.29% 0.09%
3 9,4 -24.58% -29.05% -58.10% 0.09%
3 9,5 -24.55% -35.06% -70.12% 0.09%
3 9,6 -24.59% -41.08% -82.16% 0.09%
3 9,7 -24.62% -46.51% -93.03% 0.09%
3 9,8 -12.04% -53.39% -106.77% 0.09%
3 10,A 150.00% 26.09% 51.95% 0.37%
3 10,2 -24.83% -23.23% -46.45% 0.37%
3 10,3 -24.83% -29.09% -58.18% 0.36%
3 10,4 -24.64% -35.06% -70.12% 0.37%
3 10,5 -24.61% -41.05% -82.11% 0.37%
3 10,6 -24.64% -46.55% -93.09% 0.37%
3 10,7 -12.04% -53.40% -106.80% 0.37%
3 10,8 13.79% -62.26% -124.53% 0.37%
3 10,9 39.48% -72.66% -145.33% 0.37%
4 2,A -20.28% 10.40% 6.82% 0.09%
4 3,A -20.09% 8.23% 6.75% 0.09%
4 3,2 -20.15% -5.62% -40.31% 0.09%
4 4,A -20.06% 6.07% 6.42% 0.09%
4 4,2 -20.12% -6.78% -38.35% 0.09%
4 4,3 -19.93% -3.95% -26.66% 0.09%
4 5,A -20.03% 4.11% 6.14% 0.09%
4 5,2 -20.10% -3.88% -26.86% 0.09%
4 5,3 -19.90% 4.27% -5.55% 0.09%
4 5,4 -19.87% 13.47% 19.34% 0.09%
4 6,A -7.81% 6.09% 12.18% 0.09%
4 6,2 -20.13% 4.21% -5.76% 0.09%
4 6,3 -19.94% 13.44% 19.27% 0.09%
4 6,4 -19.91% 23.69% 47.38% 0.09%
4 6,5 -19.88% 29.08% 58.16% 0.09%
4 7,A 16.98% 12.09% 24.18% 0.09%
4 7,2 -20.18% 13.22% 19.07% 0.09%
4 7,3 -19.99% 23.62% 47.23% 0.09%
4 7,4 -19.96% 28.98% 57.96% 0.09%
4 7,5 -19.93% -21.14% -42.28% 0.09%
4 7,6 -19.97% -27.54% -55.08% 0.09%
4 8,A 41.58% 17.55% 35.11% 0.09%
4 8,2 -20.47% 23.24% 46.48% 0.09%
4 8,3 -20.29% 28.64% 57.28% 0.09%
4 8,4 -20.25% -21.39% -42.79% 0.09%
4 8,5 -20.23% -27.70% -55.41% 0.09%
4 8,6 -20.26% -33.64% -67.28% 0.09%
4 8,7 -20.31% -39.53% -79.06% 0.09%
4 9,A 65.61% 22.95% 45.90% 0.09%
4 9,2 -20.54% 28.48% 56.97% 0.09%
4 9,3 -20.35% -21.52% -43.05% 0.09%
4 9,4 -20.31% -27.26% -54.51% 0.09%
4 9,5 -20.29% -33.62% -67.23% 0.09%
4 9,6 -20.32% -40.00% -80.01% 0.09%
4 9,7 -20.38% -45.78% -91.57% 0.09%
4 9,8 -8.38% -53.03% -106.05% 0.09%
4 10,A 150.00% 28.45% 56.91% 0.37%
4 10,2 -20.59% -21.15% -42.29% 0.37%
4 10,3 -20.40% -27.29% -54.58% 0.37%
4 10,4 -20.37% -33.62% -67.23% 0.36%
4 10,5 -20.34% -39.98% -79.96% 0.37%
4 10,6 -20.38% -45.80% -91.60% 0.37%
4 10,7 -8.15% -52.97% -105.93% 0.37%
4 10,8 16.48% -61.60% -123.19% 0.37%
4 10,9 41.39% -72.55% -145.11% 0.37%
5 2,A -15.90% 13.66% 13.76% 0.09%
5 3,A -15.87% 11.52% 13.65% 0.09%
5 3,2 -15.75% -1.75% -31.49% 0.09%
5 4,A -15.84% 9.43% 13.30% 0.09%
5 4,2 -15.72% -2.85% -29.63% 0.09%
5 4,3 -15.69% -0.07% -18.50% 0.09%
5 5,A -15.81% 7.50% 12.95% 0.09%
5 5,2 -15.69% 0.02% -18.61% 0.09%
5 5,3 -15.66% 7.81% 2.00% 0.09%
5 5,4 -15.63% 16.75% 26.18% 0.09%
5 6,A -4.05% 9.67% 19.35% 0.09%
5 6,2 -15.74% 7.69% 1.73% 0.09%
5 6,3 -15.71% 16.63% 25.93% 0.09%
5 6,4 -15.68% 26.54% 53.08% 0.09%
5 6,5 -15.66% 31.72% 63.43% 0.09%
5 7,A 19.80% 15.00% 30.00% 0.09%
5 7,2 -16.04% 16.19% 25.28% 0.09%
5 7,3 -16.01% 26.20% 52.39% 0.09%
5 7,4 -15.98% 31.37% 62.73% 0.09%
5 7,5 -15.95% -19.16% -38.32% 0.09%
5 7,6 -16.00% -25.91% -51.81% 0.09%
5 8,A 43.90% 20.52% 41.05% 0.09%
5 8,2 -16.10% 26.06% 52.12% 0.09%
5 8,3 -16.07% 31.23% 62.45% 0.09%
5 8,4 -16.04% -19.26% -38.53% 0.09%
5 8,5 -16.01% -25.92% -51.85% 0.09%
5 8,6 -16.06% -32.15% -64.30% 0.09%
5 8,7 -16.36% -38.47% -76.94% 0.09%
5 9,A 66.99% 25.72% 51.45% 0.09%
5 9,2 -16.15% 31.10% 62.20% 0.09%
5 9,3 -16.12% -19.39% -38.78% 0.09%
5 9,4 -16.09% -25.47% -50.95% 0.09%
5 9,5 -16.07% -32.11% -64.22% 0.09%
5 9,6 -16.12% -38.83% -77.66% 0.09%
5 9,7 -16.41% -45.07% -90.14% 0.09%
5 9,8 -4.62% -52.02% -104.04% 0.09%
5 10,A 150.00% 31.01% 62.02% 0.37%
5 10,2 -16.20% -18.99% -37.99% 0.37%
5 10,3 -16.17% -25.51% -51.02% 0.37%
5 10,4 -16.14% -32.11% -64.23% 0.37%
5 10,5 -16.12% -38.79% -77.58% 0.36%
5 10,6 -16.17% -44.99% -89.98% 0.37%
5 10,7 -4.61% -52.02% -104.04% 0.37%
5 10,8 19.54% -61.28% -122.56% 0.37%
5 10,9 43.72% -72.41% -144.83% 0.37%
6 2,A -11.68% 16.61% 20.22% 0.09%
6 3,A -11.65% 14.58% 20.12% 0.09%
6 3,2 -11.67% 1.82% -23.34% 0.09%
6 4,A -11.63% 12.61% 19.88% 0.09%
6 4,2 -11.64% 0.86% -21.52% 0.09%
6 4,3 -11.61% 3.45% -10.79% 0.09%
6 5,A -11.62% 11.01% 20.05% 0.09%
6 5,2 -11.63% 3.54% -10.86% 0.09%
6 5,3 -11.60% 10.95% 8.79% 0.09%
6 5,4 -11.58% 19.51% 31.95% 0.09%
6 6,A -0.53% 12.57% 25.14% 0.09%
6 6,2 -11.93% 10.60% 8.06% 0.09%
6 6,3 -11.90% 19.14% 31.23% 0.09%
6 6,4 -11.87% 28.77% 57.54% 0.09%
6 6,5 -11.87% 33.80% 67.61% 0.09%
6 7,A 22.28% 17.82% 35.65% 0.09%
6 7,2 -11.99% 18.90% 30.97% 0.09%
6 7,3 -11.96% 28.62% 57.24% 0.09%
6 7,4 -11.94% 33.65% 67.31% 0.09%
6 7,5 -11.93% -17.30% -34.60% 0.09%
6 7,6 -12.22% -24.50% -49.00% 0.09%
6 8,A 45.25% 23.09% 46.18% 0.09%
6 8,2 -12.04% 28.49% 56.97% 0.09%
6 8,3 -12.02% 33.51% 67.03% 0.09%
6 8,4 -11.99% -17.38% -34.76% 0.09%
6 8,5 -11.98% -24.36% -48.72% 0.09%
6 8,6 -12.28% -31.02% -62.05% 0.09%
6 8,7 -12.34% -37.49% -74.98% 0.09%
6 9,A 67.77% 28.17% 56.35% 0.09%
6 9,2 -12.10% 33.39% 66.78% 0.09%
6 9,3 -12.07% -17.50% -35.00% 0.09%
6 9,4 -12.04% -23.90% -47.79% 0.09%
6 9,5 -12.03% -30.85% -61.71% 0.09%
6 9,6 -12.33% -37.95% -75.89% 0.09%
6 9,7 -12.39% -43.89% -87.78% 0.09%
6 9,8 -0.90% -51.63% -103.25% 0.09%
6 10,A 150.00% 33.32% 66.65% 0.37%
6 10,2 -12.14% -17.10% -34.21% 0.37%
6 10,3 -12.11% -23.93% -47.86% 0.37%
6 10,4 -12.08% -30.84% -61.68% 0.37%
6 10,5 -12.07% -37.79% -75.59% 0.37%
6 10,6 -12.37% -43.89% -87.77% 0.36%
6 10,7 -0.89% -51.63% -103.25% 0.37%
6 10,8 22.11% -61.09% -122.18% 0.37%
6 10,9 45.12% -72.33% -144.66% 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 -59.78% -6.44% -58.64% 11.65% 11.65% 0.03%
A 2,2 -59.73% -29.26% -119.47% -52.45% -52.28% 0.03%
A 3,3 -59.68% -34.34% -118.13% -56.98% -56.77% 0.03%
A 4,4 -59.63% -26.38% -83.05% -64.02% -63.76% 0.03%
A 5,5 -59.65% 3.41% -2.83% -75.41% -75.13% 0.03%
A 6,6 -59.55% -38.65% -83.68% -73.08% -72.80% 0.03%
A 7,7 -59.42% -47.54% -97.25% -73.37% -73.12% 0.03%
A 8,8 -59.58% -53.95% -107.89% -51.86% -51.69% 0.03%
A 9,9 -22.11% -63.86% -127.72% -24.48% -24.39% 0.03%
A 10,10 60.07% -85.72% -171.44% -44.90% -44.90% 0.51%
2 A,A -28.46% 8.15% -6.22% 48.15% 48.15% 0.04%
2 2,2 -28.63% -11.26% -57.25% -15.52% -8.00% 0.04%
2 3,3 -28.61% -13.89% -55.21% -20.64% -13.06% 0.04%
2 4,4 -28.60% -2.28% -20.31% -25.89% -18.29% 0.04%
2 5,5 -28.22% 18.60% 36.75% -31.95% -27.51% 0.04%
2 6,6 -28.29% -25.37% -50.73% -27.08% -19.42% 0.04%
2 7,7 -28.37% -36.88% -73.76% -20.06% -12.34% 0.04%
2 8,8 -28.44% -47.13% -94.27% -0.21% 7.26% 0.04%
2 9,9 11.21% -62.42% -124.84% 15.32% 19.45% 0.04%
2 10,10 63.35% -85.43% -170.87% 10.05% 10.05% 0.73%
3 A,A -24.44% 10.38% 0.31% 52.89% 52.89% 0.04%
3 2,2 -24.59% -8.03% -49.18% -9.85% -0.90% 0.04%
3 3,3 -24.57% -10.56% -47.20% -13.71% -4.78% 0.04%
3 4,4 -24.19% 0.84% -13.08% -18.31% -9.23% 0.04%
3 5,5 -24.13% 21.06% 41.98% -24.53% -19.12% 0.04%
3 6,6 -24.21% -23.27% -46.53% -19.47% -9.81% 0.04%
3 7,7 -24.28% -35.47% -70.94% -12.93% -3.26% 0.04%
3 8,8 -24.38% -46.42% -92.83% 6.22% 14.62% 0.04%
3 9,9 13.56% -62.31% -124.62% 20.50% 25.14% 0.04%
3 10,10 64.42% -85.41% -170.81% 18.35% 18.35% 0.73%
4 A,A -20.21% 12.87% 7.05% 57.81% 57.81% 0.04%
4 2,2 -20.35% -4.50% -40.69% -3.40% 7.08% 0.04%
4 3,3 -19.96% -6.68% -38.07% -5.64% 4.95% 0.04%
4 4,4 -19.90% 4.40% -5.53% -10.34% 0.39% 0.04%
4 5,5 -19.84% 23.72% 47.43% -16.40% -9.53% 0.04%
4 6,6 -19.92% -21.12% -42.24% -11.39% 0.40% 0.04%
4 7,7 -20.02% -34.02% -68.04% -5.21% 6.71% 0.04%
4 8,8 -20.61% -45.86% -91.73% 12.43% 21.77% 0.04%
4 9,9 16.49% -61.60% -123.19% 26.88% 31.98% 0.04%
4 10,10 65.49% -85.38% -170.76% 27.14% 27.14% 0.73%
5 A,A -16.02% 15.98% 13.82% 62.89% 62.89% 0.04%
5 2,2 -15.78% -0.57% -31.56% 4.91% 17.05% 0.04%
5 3,3 -15.72% -2.85% -29.60% 2.37% 14.97% 0.04%
5 4,4 -15.66% 7.96% 2.08% -2.26% 10.73% 0.04%
5 5,5 -15.60% 26.63% 53.26% -7.89% 0.74% 0.04%
5 6,6 -15.71% -18.99% -37.98% -3.28% 10.75% 0.04%
5 7,7 -16.30% -32.77% -65.55% 1.80% 15.72% 0.04%
5 8,8 -16.42% -45.07% -90.15% 19.68% 29.99% 0.04%
5 9,9 19.54% -61.28% -122.56% 33.71% 39.28% 0.04%
5 10,10 66.88% -85.35% -170.69% 36.59% 36.59% 0.73%
6 A,A -11.66% 18.89% 20.37% 67.59% 67.59% 0.04%
6 2,2 -11.70% 2.92% -23.40% 12.24% 26.44% 0.04%
6 3,3 -11.64% 0.86% -21.52% 9.79% 24.32% 0.04%
6 4,4 -11.58% 11.10% 8.86% 5.36% 20.26% 0.04%
6 5,5 -11.57% 29.09% 58.19% -0.28% 9.82% 0.04%
6 6,6 -12.16% -17.45% -34.90% 3.36% 19.09% 0.04%
6 7,7 -12.28% -31.54% -63.08% 9.11% 24.97% 0.04%
6 8,8 -12.39% -43.89% -87.78% 26.16% 37.49% 0.04%
6 9,9 22.10% -61.09% -122.18% 39.53% 45.52% 0.04%
6 10,10 67.70% -85.33% -170.65% 45.12% 45.12% 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%