Asked by Toronto Raptor on Jul 20, 2024
Verified
If P(A)= 0.4 and P(B)= 0.6,then A and B must be collectively exhaustive.
Collectively Exhaustive
A term used to describe a set of events that covers all possible outcomes of an experiment.
P(A)
The probability of event A occurring in a given sample space, representing the likelihood of a specific outcome.
- Recognize and explain the concept of collectively exhaustive events.
Verified Answer
HJ
Hazel JenkinsJul 25, 2024
Final Answer :
False
Explanation :
The probabilities of events A and B being 0.4 and 0.6, respectively, do not imply that A and B are collectively exhaustive. They could be independent, overlapping, or even mutually exclusive events without additional information.
Learning Objectives
- Recognize and explain the concept of collectively exhaustive events.