Question

if you roll one die, what is the probability of getting an odd number or a 4?

Explanation:

Step1: Determine the total number of outcomes

When rolling a die, there are 6 possible outcomes (\(n = 6\)).

Step2: Find the number of favorable outcomes

The odd numbers on a die are 1, 3, 5 (3 outcomes), and the number 4 (1 outcome). But since there is no overlap between odd numbers and 4, the number of favorable outcomes \(m=3 + 1=4\).

Step3: Calculate the probability

Using the probability formula \(P=\frac{m}{n}\), we substitute \(m = 4\) and \(n = 6\). So \(P=\frac{4}{6}=\frac{2}{3}\).

Answer:

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