Question

if you roll a six - sided die, what is the probability that you will obtain a number greater than 2? (1 point) 2/3 4 1/6 5/6

Explanation:

Step1: Determine total outcomes

A six - sided die has \(n(S)=6\) possible outcomes (\(1,2,3,4,5,6\)).

Step2: Determine favorable outcomes

Numbers greater than \(2\) are \(3,4,5,6\), so \(n(E) = 4\).

Step3: Calculate probability

Using the formula \(P(E)=\frac{n(E)}{n(S)}\), we have \(P(E)=\frac{4}{6}=\frac{2}{3}\).

Answer:

\(\frac{2}{3}\) (the first option)