Mutations are recessive, and recessive genes do not get expressed in offspring at a .50% ratio when only one parent carries the mutation. The ratio is .25%.
The question under discussion was the probability of inheritance, not the probability of expression. You continue to conflate the two. Not only that, but you don't even have the probability of expression correct.
Take blue eyes as an example. Blue eyes are due to a recent mutation in one gene. Call the original version B and the mutated version b.
Each person is one of BB, Bb, or bb depending on whether they have zero, one or two copies of the mutated gene. Because b is recessive, only someone who is bb has blue eyes. BB and Bb both have brown eyes. That is what it means for a gene to be expressed.
So if you are Bb, you do not have blue eyes, but you still carry the mutation. You have inherited the mutation, but it is not expressed.
Our debate was about how a novel mutation that occurs in a single individual could spread, so the applicable case is where one parent is BB and the other is Bb. Look what happens.
B b
B BB Bb
B BB Bb
How many of the four offspring have the blue-eyed mutation (inheritance)? Two, or 50%.
How many of the four offspring have blue eyes (expression)? None, or 0%.
Yes, it is as straightforward as addition.