Question

a six - sided die has its sides labeled with the numbers 1 to 6. what is the probability that, when rolled, the die lands on an even - numbered side? submit your answer as a simplified fraction, as well as a decimal and percentage, both rounded to the hundredths place.

Explanation:

Step1: Identify total and favorable outcomes

Total outcomes when rolling a die is 6. Even - numbered sides are 2, 4, 6, so favorable outcomes = 3.

Step2: Calculate probability as a fraction

Probability $P=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}=\frac{3}{6}=\frac{1}{2}$

Step3: Convert fraction to decimal

$\frac{1}{2}=0.50$

Step4: Convert decimal to percentage

$0.50\times100 = 50.00\%$

Answer:

Fraction: $\frac{1}{2}$
Decimal: $0.50$
Percent: $50.00\%$