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Blackjack Insurance EV Calculator

Calculate the expected value of taking insurance in blackjack. Learn when insurance is profitable for card counters and why basic strategy players should always decline.

By Joseph Orduna·Reviewed January 23, 2026·How this works
Formula:EV = P(BJ) × Win - P(No BJ) × Loss

For mathematical education only. This tool computes probabilities and expected values; it is not a betting system and cannot predict individual outcomes.

If gambling is causing problems for you or someone you know, call the National Problem Gambling Helpline: 1-800-GAMBLER (1-800-522-4700), or visit ncpgambling.org.

How these calculators are built →

Insurance EV

-$4

-7.40% of bet

Dealer BJ Probability

30.87%

Break-even: 33.3%

✗ DECLINE INSURANCE

Bet Settings

$

Insurance bet: $50

Affects baseline probability

Card Count Adjustment (Advanced)

Standard: 96 for 6 deck(s)

Standard: 312 for 6 deck(s)

Approximate True Count: +0.0

EV Calculation Breakdown

If dealer has BJ (30.87%):+$100
If dealer doesn't (69.13%):-$50
Expected Value:-$4

Standard Insurance House Edge

7.40%

Without card counting knowledge, insurance has a 7.40% house edge in a 6-deck game. This is one of the worst bets in the casino.

Quick Answer

Insurance in blackjack is almost always a bad bet. With no card counting knowledge, insurance has a house edge of 7.4% (6-deck). On a $100 main bet, insurance costs $50 with EV of -$3.7. Only take insurance when the true count is +3 or higher in Hi-Lo counting.

Key Facts

  • ✓Insurance pays 2:1 but odds of dealer blackjack are less than 1 in 3
  • ✓House edge on insurance: 7.4% (6-deck) to 5.9% (single deck)
  • ✓Break-even point: 1 in 3 (33.3%) dealer blackjacks needed
  • ✓Actual probability: ~30.8% (6-deck) to ~31.4% (single deck)
  • ✓On $25 bet, insurance EV = -$0.92 per hand
  • ✓Card counters should take insurance at true count +3 or higher

Frequently Asked Questions

Should I take insurance in blackjack?

No, for basic strategy players insurance is always a bad bet. It has a 7.4% house edge in a 6-deck game. On a $100 bet, you bet $50 on insurance and expect to lose $3.70. The only exception is card counters who know when the deck is rich in tens.

What is the expected value of insurance?

Insurance pays 2:1 if the dealer has blackjack, but the probability is only about 30.8% (6-deck). You need 33.3% probability to break even. EV = (0.308 × $100) - (0.692 × $50) = $30.80 - $34.60 = -$3.80 per $50 insurance bet.

When should card counters take insurance?

In Hi-Lo counting, take insurance when the true count is +3 or higher. At TC +3, there are enough tens remaining that the probability of dealer blackjack exceeds the 33.3% break-even point. Some systems use +2.5 as the index.

Does "even money" work differently than insurance?

"Even money" when you have blackjack vs dealer Ace is mathematically identical to insurance. You're giving up the potential for a 3:2 payout ($150 on $100) for a guaranteed 1:1 ($100). Expected value of not taking even money: 0.692 × $150 = $103.80 - always better than $100 guaranteed.

Try These Examples

Quick-start with common scenarios

How this works

Calculations follow the published mathematics of the game — combinatorics for cards, probability theory for dice, and expected-value accounting for wagers. Results are verified against independent references (primarily Wizard of Odds). No calculation here is an opinion or recommendation; it is arithmetic applied to the rules of the game.

What this tool can’t do

When to consult a professional

This tool computes probability and expected value. It is not a betting system and cannot predict the outcome of any individual wager. If gambling is causing problems for you or someone you know, call the National Problem Gambling Helpline at 1-800-GAMBLER.

Sources

  1. [1]
    Wizard of Odds — Michael Shackleford, ASA
    Industry·wizardofodds.com·Accessed Apr 21, 2026

    Actuary; widely cited casino-game probability reference. Used for house-edge and EV verification.

  2. [2]
    National Council on Problem Gambling
    Official source·ncpgambling.org·Accessed Apr 21, 2026

    Responsible-gambling guidance and 1-800-GAMBLER helpline.

For mathematical education only

This tool computes probabilities and expected values. It is not a betting system and cannot predict individual outcomes. If gambling is causing problems for you or someone you know, call the National Problem Gambling Helpline at 1-800-GAMBLER (1-800-522-4700).

National Council on Problem Gambling →

Joseph Orduna
Joseph OrdunaFounder & Software Engineer

Full-stack software engineer specializing in embedded systems, web architecture, and AI/ML. Founder of Practical Web Tools. Built the gesture-controlled drone IP acquired by KD Interactive (Aura Drone, sold on Amazon).

Full bioLinkedIn

Insurance EV

-$4

-7.40% of bet

Dealer BJ Probability

30.87%

Break-even: 33.3%

✗ DECLINE INSURANCE