Question

what is the chance of rolling a even number in a fair number cube? answer as a percent

Explanation:

Step1: Determine total outcomes

A fair number cube has \(6\) faces numbered \(1 - 6\). So total number of outcomes \(n = 6\).

Step2: Determine favorable outcomes

Even numbers on a cube are \(2\), \(4\), \(6\). So number of favorable outcomes \(m=3\).

Step3: Calculate probability as a fraction

Probability \(P=\frac{m}{n}=\frac{3}{6}=\frac{1}{2}\).

Step4: Convert fraction to percentage

To convert \(\frac{1}{2}\) to a percentage, use the formula \(P(\%)=\frac{1}{2}\times100\).

$$P(\%) = 50\%$$

Answer:

\(50\%\)