Question

you roll a 6 - sided die. what is p(factor of 28)? write your answer as a percentage.

Explanation:

Step1: Find factors of 28

The factors of 28 are 1, 2, 4, 7, 14, 28.

Step2: Identify factors on 6 - sided die

The possible outcomes when rolling a 6 - sided die are 1, 2, 3, 4, 5, 6. The factors of 28 among these are 1, 2, 4. So there are 3 favorable outcomes.

Step3: Calculate probability

The total number of outcomes when rolling a 6 - sided die is 6. The probability formula is $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P=\frac{3}{6}=\frac{1}{2}$.

Step4: Convert to percentage

To convert a fraction to a percentage, we multiply by 100. So $\frac{1}{2}\times100 = 50\%$.

Answer:

50%