Question

1. what is the probability of rolling a number greater than 4 on a standard six - sided die?

a. $\frac{1}{6}$
b. $\frac{1}{3}$
c. $\frac{1}{4}$
d. $\frac{1}{2}$

Explanation:

Step1: Determine total outcomes

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

Step2: Determine favorable outcomes

Numbers greater than \(4\) on a die are \(5\) and \(6\), so \(m=2\).

Step3: Calculate probability

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

Answer:

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