Asked by scheswan williams on Jul 03, 2024
Verified
If P(A ∩ B) = 0,
A) P(A) + P(B) = 1.
B) either P(A) = 0 or P(B) = 0.
C) A and B are mutually exclusive events.
D) A and B are independent events.
Mutually Exclusive Events
Two events that cannot occur at the same time within the same experiment or observation.
Independent Events
Two or more events that have no influence on each other's occurrence, meaning the occurrence of one event does not affect the probability of the other.
Intersection
In mathematics, it refers to the set of elements common to two or more sets.
- Understand and identify different types of events including mutually exclusive and independent events.
Verified Answer
SB
Sadeeya BenthamJul 10, 2024
Final Answer :
C
Explanation :
A and B are mutually exclusive events because P(A ∩ B) = 0 means that the events A and B cannot occur at the same time, which is the definition of mutually exclusive events.
Learning Objectives
- Understand and identify different types of events including mutually exclusive and independent events.