Question

1. a number cube (1–6) is rolled. what is the probability of rolling an even number? * 2 points

○ 2/3
○ 1/6
○ 1/2
○ 2/6

Explanation:

Step1: Identify total outcomes

A number cube (1 - 6) has 6 possible outcomes: \(1, 2, 3, 4, 5, 6\). So total outcomes \(n = 6\).

Step2: Identify favorable outcomes

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

Step3: Calculate probability

Probability \(P=\frac{\text{favorable outcomes}}{\text{total outcomes}}=\frac{m}{n}=\frac{3}{6}=\frac{1}{2}\). Also, \(\frac{3}{6}\) simplifies to \(\frac{1}{2}\), and \(\frac{2}{6}\) simplifies to \(\frac{1}{3}\) (not correct), \(\frac{2}{3}\) and \(\frac{1}{6}\) don't match.

Answer:

C. 1/2 (assuming the third option is labeled as C, if options are labeled as A: 2/3, B: 1/6, C: 1/2, D: 2/6, then the answer is C. 1/2)