Asked by Krisha Patel on Sep 25, 2024
Verified
If the two events are mutually exclusive and collectively exhaustive,what is the probability that one or the other occurs?
A) 0.00
B) 0.50
C) 1.00
D) Cannot be determined from the information given.
Mutually Exclusive
A characteristic of events that cannot occur at the same time, indicating a clear separation or distinction between them.
Collectively Exhaustive
A property of a set of events that ensures all possible outcomes are covered, leaving no possibility out.
Probability
A numerical measure of the likelihood of a specific event occurring, ranging from 0 to 1.
- Differentiate between events characterized as mutually exclusive and those identified as collectively exhaustive, explaining their definitions and implications on probability assessments.
Verified Answer
CF
Cielo Floresabout 21 hours ago
Final Answer :
C
Explanation :
If the two events are mutually exclusive and collectively exhaustive, it means that one and only one of the events will occur. Therefore, the probability of one or the other occurring is 1 or 100%.
Learning Objectives
- Differentiate between events characterized as mutually exclusive and those identified as collectively exhaustive, explaining their definitions and implications on probability assessments.