Asked by Sahil Singh on Sep 25, 2024
Verified
If P(A)= 0.4 and P(B)= 0.6,then A and B must be mutually exclusive.
Mutually Exclusive
refers to events that cannot occur at the same time in a probabilistic experiment.
P(A)
The probability of an event A occurring.
P(B)
Represents the probability of an event B occurring in probability theory and statistics.
- Analyze the concept of independence vs. mutual exclusivity in the context of probability theory.
Verified Answer
LM
Lindsay Monzonabout 20 hours ago
Final Answer :
False
Explanation :
Since the sum of their probabilities P(A)+P(B)=1 and P(A∩B)=0 (where ∩ denotes intersection), it is not necessary for A and B to be mutually exclusive. They could have some overlap, but not complete overlap. Therefore, option B is the correct answer.
Learning Objectives
- Analyze the concept of independence vs. mutual exclusivity in the context of probability theory.