you roll a 6 - sided die. what is p(prime)? write your answer as a percentage rounded to the nearest tenth. %
you roll a 6 - sided die. what is p(prime)? write your answer as a percentage rounded to the nearest tenth. %
Answer
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 when rolling a die is 6, 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 use the formula $\text{Percentage}=P\times100%$. So $\frac{1}{2}\times100% = 50.0%$.
Answer:
50.0%