Basic Strategy Calculator
Get instant optimal play recommendations for any blackjack hand combination
What should I do with Hard 20 vs Dealer 6?
Optimal Play: Stand
When you have Hard 20 and the dealer shows 6, the mathematically optimal play according to basic strategy is to stand. This means you should keep your current hand and let the dealer play.
Why Stand?
With a total of 20, you have a strong hand that risks busting if you take another card. Standing preserves your current total and gives you the best expected value in this situation.
Expected Value
Standing maximizes your expected value here. The dealer is likely to bust or end up with a worse hand than yours.
Alternative Actions
This is the only recommended action for this hand regardless of dealer upcard.
How to Use the Basic Strategy Calculator
Choose Hand Type
Select whether you have a hard hand (no Ace or Ace counted as 1), soft hand (Ace counted as 11), or a pair.
Select Your Hand
Click on the button that represents your hand total or card combination.
Choose Dealer's Upcard
Select the dealer's visible card to complete the scenario.
Get Recommendation
Click "Get Recommendation" to see the optimal play, explanation, and expected value.
Calculator Features
Instant Results
Get immediate optimal play recommendations for any hand combination.
Detailed Explanations
Understand why each decision is optimal with mathematical reasoning.
Expected Value
See the mathematical expectation for each possible action.
Mobile Optimized
Works perfectly on all devices with touch-friendly interface.
Basic Strategy Fundamentals
Basic strategy is the mathematically optimal way to play every hand in blackjack. It's based on computer simulations of millions of hands and reduces the house edge to its minimum. This calculator implements perfect basic strategy for standard rules: 6 decks, dealer hits soft 17, double on any two cards, double after split allowed, late surrender. See the full basic strategy chart or learn the reasoning in the basic strategy guide.
Action Abbreviations
- H Hit
- Take another card
- S Stand
- Keep your current hand
- D Double
- Double your bet and take one card
- P Split
- Separate pairs into two hands
- R Surrender
- Forfeit half your bet