Asked by Tanesha Williams on May 02, 2024
Verified
If two events are mutually exclusive and collectively exhaustive,what is the probability that both occur?
A) 0.00
B) 0.50
C) 1.00
D) Cannot be determined from the information given.
Mutually Exclusive
Mutually exclusive refers to events in probability and statistics that cannot occur at the same time, indicating that the occurrence of one event necessarily excludes the occurrence of the other.
Collectively Exhaustive
A set of events is collectively exhaustive if at least one of the events must occur.
Probability
A measure of the likelihood that an event will occur, expressed on a scale from 0 (impossibility) to 1 (certainty).
- Contrast mutually exclusive with collectively exhaustive events, detailing their definitions and the ramifications for determining probabilities.
Verified Answer
ZK
Zybrea KnightMay 06, 2024
Final Answer :
A
Explanation :
If two events are mutually exclusive, it means they cannot occur together. Therefore, the probability of both events occurring together is 0. If they are collectively exhaustive, it means that one of the two events must occur. Therefore, the probability of both events occurring together is also 0.
Learning Objectives
- Contrast mutually exclusive with collectively exhaustive events, detailing their definitions and the ramifications for determining probabilities.