you roll a 6 - sided die. what is p(not prime)? write your answer as a percentage. %

Explanation:

Step1: Identify sample - space and non - prime numbers

The sample space when rolling a 6 - sided die is (S={1,2,3,4,5,6}). Non - prime numbers in this set are (1,4,6).

Step2: Calculate probability formula

The probability formula is (P(A)=\frac{n(A)}{n(S)}), where (n(A)) is the number of elements in event (A) and (n(S)) is the number of elements in the sample space. Here, (n(A) = 3) (the non - prime numbers (1,4,6)) and (n(S)=6). So (P(\text{not prime})=\frac{3}{6}).

Step3: Convert to percentage

To convert (\frac{3}{6}) to a percentage, we first simplify (\frac{3}{6}=\frac{1}{2}), and then (\frac{1}{2}\times100% = 50%).

Answer:

50%