To calculate $P(A \cup B)$, we use the formula:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

Given:

• $P(A) = 0.17$
• $P(B) = 0.34$
• $P(A \cap B) = 0.14$

Substitute the values:

$P(A \cup B) = 0.17 + 0.34 - 0.14$

$P(A \cup B) = 0.37$

Thus, $P(A \cup B) = 0.37$.

Would you like a detailed breakdown or have further questions? Here are 5 related questions for exploration:

1. What does $P(A \cap B)$ represent in probability terms?
2. How would $P(A \cup B)$ change if $P(A \cap B) = 0$?
3. How can this formula be extended for more than two events?
4. What are examples of mutually exclusive events in real-life applications?
5. How does this formula relate to the inclusion-exclusion principle in set theory?

Tip: Always check whether events are mutually exclusive when calculating probabilities, as $P(A \cap B)$ would equal 0