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Should you take insurance in blackjack?

No. Insurance loses money unless you count cards, and even money on a blackjack is the same bet.

On a 6-deck table where the dealer hits soft 17, with surrender (the common Las Vegas Strip game), insurance on a 10-7 averages −0.0388 per unit bet, −7.77% of what you put on insurance.

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The hand

You

  • Ten of hearts
  • Seven of clubs

Dealer

  • Ace of spades
PlayPer unit bet
DeclineBest0.0000
Take insurance−0.0388

Insurance costs half the original bet and pays 2 to 1 if the dealer has blackjack. The value is per unit of the original bet; "per insurance bet" divides it by the half unit you put up. Declining costs nothing.

Why

Insurance pays 2 to 1, so it only breaks even if the dealer has a ten under the ace at least one time in three. Fewer than a third of the cards are tens, and every ten in your own hand lowers the chance a little more. Even money on a blackjack is insurance under another name: it trades an average of more than one bet for exactly one.

Does the number of decks change it?

TableTen in the holePer unit betPer insurance bet
6 decks · H17 · DAS · surrender30.74%−0.0388−7.77%
8 decks · H17 · DAS · surrender30.75%−0.0387−7.75%
2 decks · H17 · DAS30.69%−0.0396−7.92%
1 deck · H17 · no DAS30.61%−0.0408−8.16%

H17: the dealer hits soft 17. S17: the dealer stands on soft 17. DAS: you can double after splitting.

Does your hand change it?

Your handTen in the holePer unit betPer insurance bet
10-730.74%−0.0388−7.77%
10-K30.42%−0.0437−8.74%
9-831.07%−0.0340−6.80%
5-631.07%−0.0340−6.80%
A-K30.74%−0.0388−7.77%

Against the same dealer card, on 6 decks · H17 · DAS · surrender.

Even money on a blackjack

Taking even money on a blackjack is worth exactly +1.0000 per unit bet. Declining it is worth +1.0388 on average: you are paid 3 to 2 unless the dealer also has blackjack, which pushes.

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