Question

1. what is the probability of rolling a 4 with a six - sided die?

a. 1/4
b. 1/5
c. 1/6
d. 1/3

Explanation:

Step1: Determine total outcomes

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

Step2: Determine favorable outcomes

Rolling a 4 is 1 favorable outcome. So, number of favorable outcomes \(m=1\).

Step3: Apply probability formula

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

Answer:

C. \(1/6\)