Blackjack expectation for insurance against a dealers ace

Card distribution in the shoe
Card 2 3 4 5 6 7 8 9 X A Sum
Count:{$ sgtb.cards_total $}
Distribution:{$ sgtb.cards_dist.card_2 $}%{$ sgtb.cards_dist.card_3 $}%{$ sgtb.cards_dist.card_4 $}%{$ sgtb.cards_dist.card_5 $}%{$ sgtb.cards_dist.card_6 $}%{$ sgtb.cards_dist.card_7 $}%{$ sgtb.cards_dist.card_8 $}%{$ sgtb.cards_dist.card_9 $}%{$ sgtb.cards_dist.card_10 $}%{$ sgtb.cards_dist.card_1 $}%

 

 

Expectation whether the player shall insure against a dealers Blackjack or not
DFH 2 3 4 5 6 7 8 9 X A
E(insurance) {$ sgtb.expect_insure $}

Another decision the player can do is to take out insurance against a Blackjack in case the dealers first hand is an Ace. Expectation for insurance is named E(insurance).