Probability of option ending itm

What is the probability of an option ending ITM, with its DELTA at 25, 20, 15 vis-a-vis DTE.
I.e. an option with DELTA -25 with DTE 45, 30, 15 expiring ITM

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I guess there will not be any predefined calculation because market moves based on news, earnings, etc

If there is a formula, I would like to know it too

Use historical data to calculate it. It’s going to be different for each scrip. And this stat would probably be of no help other than in indexes maybe.

Correct, it will help with indexes. But having such large database is not possible for me.
I presume DELTA-DTE relation as 15-45, 20-30,25-15. Hope this will work.