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Baccarat Insurance Options at Marina Bay Sands

Introduction

In certain baccarat games, players have the option to place mid-game proposition bets, primarily aimed at securing a winning hand. I provide a general overview of these bets on my dedicated page about them. baccarat insurance To keep my previous page concise, this section will focus specifically on insurance bets offered at the Marina Bay Sands casino in Singapore.

To maintain clarity while discussing baccarat, I use lowercase letters for players engaged in the game and uppercase letters to indicate the associated bets.

Player Win after Four Cards

The table below presents scenarios where players can place bets on a Player win after four cards have been dealt. Insurance bets are rewarded on a Player win, lost on a Banker win, and they result in a push during a Tie.

Player Win after Four Cards

Player
Total
Banker
Total
Pays Probability
Player Win
Probability
Banker Win
Probability
Tie
Expected
Value
0 5 2 0.319950 0.638715 0.041335 0.001185
1 5 2 0.283814 0.674655 0.041531 -0.107027
2 5 2 0.248356 0.650906 0.100738 -0.154193
3 5 2 0.271182 0.628151 0.100667 -0.085786
4 5 2 0.294993 0.604412 0.100595 -0.014426
0 6 3 0.248749 0.721860 0.029391 0.024389
1 6 3 0.200798 0.710369 0.088833 -0.107975
2 6 3 0.212631 0.698539 0.088830 -0.060646
3 6 3 0.224458 0.687609 0.087932 -0.014235
4 6 3 0.236160 0.675002 0.088838 0.033478
5 6 3 0.248909 0.662332 0.088759 0.084397
0 7 4 0.154340 0.769393 0.076268 -0.152035
1 7 4 0.153216 0.769718 0.077066 -0.156852
2 7 4 0.153224 0.769708 0.077068 -0.156814
3 7 4 0.154128 0.768806 0.077066 -0.152294
4 7 4 0.153211 0.769725 0.077065 -0.156882
5 7 4 0.154124 0.768810 0.077066 -0.152312

Banker Win after Four Cards

The table below outlines situations where players can bet on a Banker win following the deal of four cards. Here, insurance bets pay out on a Banker win, lose on a Player win, and push in the event of a Tie.

Banker Win after Four Cards

Player
Total
Banker
Total
Pays Probability
Player Win
Probability
Banker Win
Probability
Tie
Expected
Value
5 4 2 0.597782 0.289715 0.112503 -0.018352
6 0 2 0.692222 0.231515 0.076263 -0.229191
6 1 2 0.692651 0.230281 0.077068 -0.232089
6 2 2 0.692656 0.230281 0.077063 -0.232094
6 3 2 0.693562 0.230272 0.076166 -0.233019
6 4 3 0.692650 0.230277 0.077073 -0.001817
6 5 3 0.691743 0.231193 0.077065 0.001835
7 0 3 0.769393 0.154340 0.076268 -0.306374
7 1 3 0.769718 0.153216 0.077066 -0.310068
7 2 3 0.769708 0.153224 0.077068 -0.310037
7 3 3 0.768806 0.154128 0.077066 -0.306422
7 4 4 0.769725 0.153211 0.077065 -0.156882
7 5 4 0.768810 0.154124 0.077066 -0.152312

Player Win after Five Cards

This table illustrates scenarios for placing bets on a Player win after five cards are dealt. Successful insurance bets occur with a Player win, losses happen against a Banker win, and a push is declared for a Tie.

Player Win after Five Cards

Player
Total
Banker
Total
Pays Probability
Player Win
Probability
Banker Win
Probability
Tie
Expected
Value
1 1 6 0.077013 0.615304 0.307683 -0.153227
1 2 7 0.077011 0.845973 0.077016 -0.306895
1 3 7 0.076989 0.845742 0.077269 -0.306818
1 4 7 0.076032 0.847902 0.076065 -0.315676
1 5 7 0.075882 0.848080 0.076039 -0.316907
1 6 7 0.076783 0.846428 0.076789 -0.308945
2 3 4 0.154252 0.768763 0.076986 -0.151755
2 4 4 0.153694 0.768986 0.077320 -0.154208
2 5 4 0.152675 0.772494 0.074831 -0.161793
2 6 4 0.153579 0.770093 0.076329 -0.155778
3 4 1.5 0.231953 0.690731 0.077316 -0.342802

Banker Win after Five Cards

The following table depicts instances where players can wager on a Banker win after five cards are dealt. In all cases except when the Player totals nine, insurance bets succeed on a Banker win, fail on a Player win, and result in a push on a Tie. When the Player’s total is nine, however, insurance bets on the Banker will win on a Tie and lose against a Player win.

Banker Win after Five Cards

Player
Total
Banker
Total
Pays Probability
Player Win
Probability
Banker Win
Probability
Tie
Expected
Value
5 0 2 0.613890 0.309497 0.076613 0.005104
5 1 2 0.614788 0.308293 0.076919 0.001799
5 2 2 0.615134 0.307946 0.076920 0.000758
5 3 2 0.616392 0.306687 0.076921 -0.003018
5 4 2 0.617492 0.305417 0.077090 -0.006658
6 0 3 0.691042 0.232147 0.076811 0.005400
6 1 3 0.691983 0.231249 0.076768 0.001764
6 2 3 0.692490 0.230743 0.076767 -0.000261
6 3 3 0.693904 0.230225 0.075870 -0.003228
6 4 3 0.694015 0.229293 0.076692 -0.006137
6 5 3 0.692008 0.230948 0.077044 0.000838
7 0 4 0.768423 0.154764 0.076812 -0.149365
7 1 4 0.769115 0.153977 0.076908 -0.153207
7 2 4 0.769616 0.153613 0.076771 -0.155163
7 3 4 0.769562 0.153673 0.076766 -0.154871
7 4 4 0.770610 0.152621 0.076769 -0.160127
7 5 4 0.769077 0.153838 0.077085 -0.153726
7 6 4 0.768408 0.154635 0.076956 -0.149867
8 0 7 0.845811 0.077381 0.076809 -0.304147
8 1 7 0.846393 0.076700 0.076907 -0.309496
8 2 7 0.846178 0.076905 0.076918 -0.307846
8 3 7 0.846655 0.076766 0.076579 -0.309293
8 4 7 0.847738 0.076573 0.075688 -0.311724
8 5 7 0.846555 0.076427 0.077018 -0.311569
8 6 7 0.845958 0.077253 0.076789 -0.305184
9 0 8 0.923190 0.000000 0.076810 -0.308709
9 1 8 0.923094 0.000000 0.076906 -0.307850
9 2 8 0.923090 0.000000 0.076910 -0.307808
9 3 8 0.923153 0.000000 0.076847 -0.308380
9 4 8 0.923583 0.000000 0.076417 -0.312246
9 5 8 0.923586 0.000000 0.076414 -0.312278
9 6 8 0.923200 0.000000 0.076800 -0.308800