If 3 blocks was mined 10 minutes, that means each transaction would be mined within 1/10^3 and 0.0027 per transaction.
1/10^3 gotten from the λ and the 0.0027 is 1/10^3
These are some non-understandable math. Why 10^3, how did you work out 0.0027 and what does it mean?
We know the formula of probability is :- possibility= (Number of favorable outcomes of events / Number of possible outcomes)
That's not the correct formula to use. Your formula makes sense in finite sets. For example, the odds of getting an even number from a dice roll.
{Total of even integers from 1 to 6} / {Total integers from 1 to 6} = 3 / 6 = 0.5
The set of all possible outcomes in the Bitcoin network within 10 minutes is infinite.
Before I unveil the answer, I want to leave the thread for a few hours. Maybe someone wants to correct the replies above.