Simple Example:
Just to make it easy, let's say to compensate for the innings a starter will pitch, a Manager must use 3 relief pitchers. And say your starter has a 50% chance of a good performance (conversely a 50% chance of a bad performance), while each reliever has only a 75% chance of a good performance (25% chance of a bad one). The probability of all three relievers having a good performance would be:
(If I remember correcly from stat class, i think I do)
(the probability of relief pitcher A having a good performance)
X
(the probablitiy of relief pitcher B having a good performance)
X
(the probablity of relief pitcher C having a good performance)
Since they all have the same probability of a good performance you raise this to the thrid and get: (3/4)^3= .421875 or roughly 42%.
This shows that even though each individual relief pitcher has a (much) higher chance of a good performance(75%) compared to the starter(50%), cumulatively, the relief pitchers have a worse chance of all having a good performance; 42% compared to 50% .
Obviously this is a very simple example, with "everything else held equal", but I think it does illustrate some of the logic behind why this strategy isn't used in baseball.
I hope I got this close to right
.

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