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

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

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

Answer

Explanation:

Step1: List 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.

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 $P(\text{prime})=\frac{3}{6}$.

Step3: Convert to percentage

To convert $\frac{3}{6}$ to a percentage, we first simplify $\frac{3}{6}=\frac{1}{2}$, and $\frac{1}{2}=0.5$. Then, $0.5\times100% = 50%$.

Answer:

50%