Geometry

Question Analysis
This question involves using survey data to calculate the probability of non - mutually exclusive events.
The main focus is on converting the number of students in each pet - ownership category into probabilities and then applying the formula for non - mutually exclusive events to find the probability that a student has either a dog or a cat.

Key Concept Explanation
The formula is crucial here. Event A represents students having a dog, and event B represents students having a cat.
The subtraction of (students having both a dog and a cat) ensures that these students are not counted twice when determining the probability of having either pet.

Step-by-Step Solution
Calculate the probability of event A:

Calculate the probability of event B:

Calculate the probability of the intersection:

Click "Show Answer" to reveal the answer and analysis