Question

rebecca will roll a standard 6 - sided die. what is the probability that she rolls a number greater than 3?

Explanation:

Step1: Determine total outcomes

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

Step2: Determine favorable outcomes

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

Step3: Calculate probability

The probability formula is \(P(E)=\frac{n(E)}{n(S)}\). Substituting the values, we get \(P(E)=\frac{3}{6}=\frac{1}{2}\).

Answer:

\(\frac{1}{2}\)