Question

cassie will roll a standard 6 - sided die. what is the probability that she rolls a number greater than 4?
\\( \frac { 1 } { 6 } \\) \\( \frac { 2 } { 3 } \\) \\( \frac { 1 } { 3 } \\) \\( \frac { 1 } { 4 } \\)

Explanation:

Step1: Determine total number of outcomes

A standard 6 - sided die has 6 possible outcomes (\(n = 6\)).

Step2: Determine number of favorable outcomes

Numbers greater than 4 on a 6 - sided die are 5 and 6. So, number of favorable outcomes \(m=2\).

Step3: Calculate probability

Probability formula is \(P=\frac{m}{n}\). Substituting \(m = 2\) and \(n = 6\), we get \(P=\frac{2}{6}=\frac{1}{3}\).

Answer:

\(\frac{1}{3}\)