Explanation:
I am not sure i understand the text you put there.
what I think is clear is to find the expected number of the appearances of the number 3 when spinning the spinner 100 times.
to do this we start by checking the given information.
and we see that the given table based on the result of in total 50 spins (7+8+9+7+11+8).
when spinning the spinner additional times, we can expect the same structure of distribution of the individual possible results as before. we just scale everything to the new size of the overall sample.
before, with 50 spins, we saw the number 3 9 times.
so, with 100 spins, which is 2×50, we expect to see the number 3 then 2×9 = 18 times.