Events A and B are mutually exclusive.  Find the probability of A or B.  Express all the solution as a reduced fraction in the form a/b.

P(A) = 1/2  and P(B) = 1/4

P(A or B) =

To find the probability of either event A or event B occurring when the events are mutually exclusive, we use the formula:

\[
P(A \text{ or } B) = P(A) + P(B)
\]

Given:
\[
P(A) = \frac{1}{2}
\]
\[
P(B) = \frac{1}{4}
\]

Since the events are mutually exclusive, we can simply add the probabilities:

\[
P(A \text{ or } B) = \frac{1}{2} + \frac{1}{4}
\]

To add these fractions, find a common denominator. The least common denominator (LCD) of 2 and 4 is 4.

Convert \(\frac{1}{2}\) to have a denominator of 4:

\[
\frac{1

Learn how to calculate the probability of either event A or event B occurring when the events are mutually exclusive. This problem involves using the addition rule of probability and reducing fractions. Suitable for high school students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation