Question

you roll a 6 - sided die. what is p(greater than 3)? write your answer as a fraction or whole number.

Explanation:

Step1: Determine total number of outcomes

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

Step2: Determine number of favorable outcomes

The numbers greater than 3 on a 6 - sided die are \(4,5,6\). So \(n(E) = 3\).

Step3: Calculate the probability

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

Answer:

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