Question

you roll a 6 - sided die. what is p(prime)? write your answer as a percentage rounded to the nearest tenth.

Explanation:

Step1: Identify prime numbers on a 6 - sided die

The numbers on a 6 - sided die are 1, 2, 3, 4, 5, 6. Prime numbers among them are 2, 3, 5. So there are 3 prime numbers.

Step2: Calculate the probability

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the total number of outcomes is 6 (since it's a 6 - sided die), and the number of favorable outcomes (prime numbers) is 3. So $P(\text{prime})=\frac{3}{6}=\frac{1}{2}$.

Step3: Convert to percentage

To convert $\frac{1}{2}$ to a percentage, we multiply by 100. $\frac{1}{2}\times100 = 50.0\%$

Answer:

50.0%