# The spinner below is divided into eight equal parts. Find the theoretical probability described below as a fraction. P(greater than 2) =

Question
Probability
The spinner below is divided into eight equal parts. Find the theoretical probability described below as a fraction.
P(greater than 2) =

2020-11-25
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 $$\displaystyle{2}{)}={\frac{{{6}}}{{{8}}}}={\frac{{{\frac{{{6}}}{{{2}}}}}}{{{\frac{{{8}}}{{{8}}}}}}}={\frac{{{3}}}{{{4}}}}$$

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