Refer to the Venn diagram to the right for events A and B in an equally likely sample space S. Find the indicated probability.

​P(Aunion∪​B)

40202020

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Part 1

​P(Aunion∪​B)equals=enter your response here 

​(Type a​ decimal.)




To solve for \( P(A \cup B) \), we use the formula for the probability of the union of two events \( A \) and \( B \):

\[
P(A \cup B) = P(A) + P(B) - P(A \cap B)
\]

However, before proceeding, we need more specific information from the Venn diagram, such as the values of \( P(A) \), \( P(B) \), and \( P(A \cap B) \). If you have the diagram or these probabilities, could you provide them?

Would you like to upload the diagram for further clarification?

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Here are 5 related questions to explore this further:
1. How do you compute the probability of the intersection \( P(A \cap B) \)?
2. What is the difference between \( P(A \cup B) \) and \( P(A \cap B) \)?
3. If \( P(A) \) and \( P(B) \) are mutually exclusive, what is \( P(A \cup B) \)?
4. How can Venn diagrams help visualize probability problems?
5. How do conditional probabilities relate to Venn diagrams?

**Tip:** When dealing with Venn diagrams in probability, always consider if the events overlap (i.e., their intersection) to avoid double counting.

Refer to the Venn diagram to the right for events A and B in an equally likely sample space S. Find the indicated probability. P(A ∪ B).

Learn how to calculate the probability of the union of two events A and B, using the formula P(A ∪ B) = P(A) + P(B) - P(A ∩ B). Understand how Venn diagrams can help visualize probabilities in set theory, with a step-by-step guide. Suitable for high school students in Grades 9-12.

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