
Answer-first summary for fast verification
Answer: 0.6
## Explanation To find P(A ∪ B), we use the formula for the probability of the union of two events: \[ P(A \cup B) = P(A) + P(B) - P(A \cap B) \] Given: - P(A) = 0.3 - P(B) = 0.4 - P(A ∩ B) = 0.1 Substituting the values: \[ P(A \cup B) = 0.3 + 0.4 - 0.1 = 0.6 \] Therefore, the probability that the team wins at least one of the two events is 0.6. **Key Concepts:** - **Union Probability**: The probability that at least one of the events occurs - **Intersection Probability**: The probability that both events occur simultaneously - **Inclusion-Exclusion Principle**: Accounts for the overlap between events to avoid double-counting
Author: Tanishq Prabhu
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