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 total outcomes
A 6 - sided die has 6 possible outcomes: 1, 2, 3, 4, 5, 6.
Step2: Identify prime numbers
Prime numbers among 1 - 6 are 2, 3, 5. So there are 3 prime numbers.
Step3: Calculate probability
The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, $P(\text{prime})=\frac{3}{6}=\frac{1}{2}$.
Step4: Convert to percentage
To convert $\frac{1}{2}$ to a percentage, we multiply by 100: $\frac{1}{2}\times100 = 50.0%$.
Answer:
50.0%