investigating averages

Question

supposed you are going to try an additional 5 shots for a total of 10 shots. How many of the next 5 shots will you have to make to have a 50% shooting percent for all 10 shots

Answer 1

If you missed all 5 of the first 5 shots, then you have to make the next 5.

If you missed 4 of the first 5 shots, then you have to make 4 of the next 5.

If you missed 3 of the first 5 shots, then you have to make 3 of the next 5.

If you missed 2 of the first 5 shots, then you have to make 2 of the next 5.

If you missed 1 of the first 5 shots then you have to make 1 of the next 5.

If you missed 0 of the first 5 shots, then you have to make 0 of the next 5.