Question

If you roll a six sided die what is the p(5)? Express your answer as a fraction and as a percent.

Answer 1

When rolling one die, there is one "5" outcome and six total outcomes. The formula for probability is represented as:

$P(A) = \dfrac{\textrm{number of outcomes resulting in} \,A}{\textrm{total number of outcomes}}$

Thus in this case, to find $P(5)$, we would go about the following:

$P(5) = \dfrac{1}{6}$

To convert $\frac{1}{6}$ to a percent, we first multiply by 100 and then divide, as shown:

$\dfrac{1}{6} \cdot 100 = \dfrac{100}{6} = 16.\overline{6} \,\%$

The fraction would be 1/6 and the percentage would be 16.666...%, which is often rounded to 16.67%.