Baccarat Big and Small Probability

Parvani449

Three Scenarios:

1. Player with 2 cards of 8 or 9 points, Banker with any cards.
2. Banker with 2 cards of 8 or 9 points, Player without 8 or 9 points.
3. Both Player and Banker have 2 cards of 6 or 7 points.

Possible combinations for 2 cards of 8 or 9 points:
1+7, 1+8, 2+6, 2+7, 3+5, 3+6, 4+4, 4+5, 8+10, 9+9, 9+10

Probability calculation for 1+7, 1+8, 2+6, 2+7, 3+5, 3+6, 4+5: (32/416) * (32/415)
Probability calculation for 4+4, 9+9: (32/416) * (31/415)
Probability calculation for 8+10, 9+10: (32/416) * (128/415)

Thus, the probability of getting 8 or 9 points with 2 cards from 8 decks is: 0.189434662.

Using the same calculation method, the probability of getting 6 or 7 points is the same as that of 8 or 9 points.
So we have:
1. Player with 2 cards of 8 or 9 points, Banker with any cards: 0.189434662
2. Banker with 2 cards of 8 or 9 points, Player without 8 or 9 points: 0.189434662 * (1 - 0.189434662) = 0.153549171
3. Both Player and Banker have 2 cards of 6 or 7 points: 0.189434662 * 0.189434662 = 0.035885491

Thus, in the initial state, the probability of ""Small"" is: 0.189434662 + 0.153549171 + 0.035885491 = 0.378869323.

Baccarat is either ""Small"" or ""Big"", so the probability of ""Big"" is: 1 - 0.378869323 = 0.621130677.

Ritu77

You can also look at the probability, it’s not easy to win anyway!

Samiksha

Aren't the probabilities for Big and Small quite similar?

Jiten171

Probabilities are meaningful when considering a large volume of data.