Question

a single fair six - sided die is rolled. find the probability of getting a number greater than 2. the probability of getting a number greater than 2 is
(type an integer or a simplified fraction.)

Explanation:

Step1: Find total number of outcomes

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

Step2: Find number of favorable outcomes

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

Step3: Use probability formula

The probability formula is \(P(E)=\frac{n(E)}{n(S)}\). Substitute \(n(E) = 4\) and \(n(S)=6\), we get \(P(E)=\frac{4}{6}=\frac{2}{3}\).

Answer:

\(\frac{2}{3}\)