When to add or multiply probability?
Understand the Problem
The question is asking about the rules for combining probabilities, specifically when to use addition and when to use multiplication. This relates to fundamental principles in probability theory, such as the addition rule for mutually exclusive events and the multiplication rule for independent events.
Answer
If you have 'or' in the wording, add the probabilities. If you have 'and' in the wording, multiply the probabilities.
The final answer is: If you have 'or' in the wording, add the probabilities. If you have 'and' in the wording, multiply the probabilities.
Answer for screen readers
The final answer is: If you have 'or' in the wording, add the probabilities. If you have 'and' in the wording, multiply the probabilities.
More Information
Addition and multiplication rules in probability help determine combined outcomes for events. Use addition when calculating the likelihood of any one of several events occurring (union) and multiplication for when all specified events occur together (intersection).
Tips
A common mistake is confusing 'and' with 'or' statements. It's useful to carefully read and understand the problem context to ensure proper application of rules.
Sources
- How to Find the Probability of Two Events Occurring Together - statisticshowto.com
- In need of tips/suggestions when to add or multiply probabilities - Math Stack Exchange - math.stackexchange.com
- When Do I Add or Multiply in Probability? - The Math Doctors - themathdoctors.org
