Explanation
To find P(A ∪ B), we use the formula for the probability of the union of two events:
P(A∪B)=P(A)+P(B)−P(A∩B)
Given:
- P(A) = 0.3
- P(B) = 0.4
- P(A ∩ B) = 0.1
Substituting the values:
P(A∪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