Question

1. the probability of rolling a number less than 5 on a six - sided die is:

a. $\frac{1}{6}$
b. $\frac{2}{3}$
c. $\frac{5}{6}$
d. $\frac{1}{2}$

Explanation:

Step1: Determine total outcomes

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

Step2: Determine favorable outcomes

Numbers less than \(5\) are \(1,2,3,4\). So \(m=4\) favorable outcomes.

Step3: Calculate probability

Probability formula is \(P=\frac{m}{n}\). Substitute \(m = 4\) and \(n = 6\), we get \(P=\frac{4}{6}=\frac{2}{3}\).

Answer:

B. \(\frac{2}{3}\)