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Options Delta: Choosing Strikes with Probability in Mind

Delta measures how much an option moves per $1 in the stock — but for premium sellers, it doubles as a rough probability of the option expiring worthless.

What Is Delta?

Delta ranges from 0 to 1 for calls and 0 to -1 for puts. A put with a delta of -0.30 roughly implies a 30% chance of finishing in-the-money — meaning about a 70% chance the put expires worthless and you keep the premium.

Delta as Probability

When you sell a put, a lower absolute delta means a higher probability of keeping the premium — but a smaller premium. A higher delta pays more but carries more assignment risk. Delta lets you choose that trade-off deliberately.

Choosing a Delta

  • Around 0.30 — a common starting point balancing premium and probability.
  • Around 0.20 — safer, smaller premium, higher win rate.
  • Around 0.16 — conservative, one standard deviation from the money.

Key Takeaways

  • Delta approximates the probability of expiring worthless.
  • Lower delta = higher probability, smaller premium.
  • Combine delta with support levels for stronger strike selection.

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