Theoretical probability = number of successful outcomes/total number of outcomes so to find the probability of spinning a number greater than 2, we need to find the number of outcomes that are greater than 2 and then divide it by the total number of outcomes on the spinner.

Since the spinner is labeled 1 through 8, then the outcomes that are greater than 2 are the outcomes from 3 to 8 and the total number of outcomes is 8. The number of outcomes greater than 2 is then 6.

Therefore, P(greater than \(\displaystyle{2}{)}={\frac{{{6}}}{{{8}}}}={\frac{{{\frac{{{6}}}{{{2}}}}}}{{{\frac{{{8}}}{{{8}}}}}}}={\frac{{{3}}}{{{4}}}}\)

Since the spinner is labeled 1 through 8, then the outcomes that are greater than 2 are the outcomes from 3 to 8 and the total number of outcomes is 8. The number of outcomes greater than 2 is then 6.

Therefore, P(greater than \(\displaystyle{2}{)}={\frac{{{6}}}{{{8}}}}={\frac{{{\frac{{{6}}}{{{2}}}}}}{{{\frac{{{8}}}{{{8}}}}}}}={\frac{{{3}}}{{{4}}}}\)