Asked by Karla Macias on Jun 03, 2024
Verified
Two events A and B are said to be mutually exclusive if:
A) P(A|B) = 1
B) P(A|B) = P(A)
C) P(A and B) =1
D) P(A and B) = 0
Mutually Exclusive
Two events that cannot happen at the same time in a given experiment or situation.
P(A|B)
The conditional probability of event A occurring given that event B has occurred.
P(A And B)
The probability that both event A and event B occur at the same time.
- Understand and define the concept of mutually exclusive events in probability.
Verified Answer
TL
Talia LambergJun 09, 2024
Final Answer :
D
Explanation :
If two events A and B are mutually exclusive, it means they cannot happen at the same time. Therefore, the probability of them occurring together (i.e., P(A and B)) would be zero. This aligns with option D, which states that P(A and B) = 0.
Learning Objectives
- Understand and define the concept of mutually exclusive events in probability.