Asked by Mohammad Al-Tamimi on Sep 25, 2024
Verified
If two equally likely events A and B are mutually exclusive and collectively exhaustive,what is the probability that event A occurs?
A) 0.00
B) 0.50
C) 1.00
D) Cannot be determined from the information given.
Mutually Exclusive
Two events that cannot occur at the same time, implying that the occurrence of one event precludes the occurrence of the other.
Collectively Exhaustive
Refers to a set of events that covers all possible outcomes, ensuring that no possibilities are left out.
Equally Likely
A term used in probability to describe outcomes that have the same chance of occurring.
- Distinguish between events that are mutually exclusive and those that are collectively exhaustive, elucidating their respective definitions and the consequences for probabilistic outcomes.
Verified Answer
DH
Davina Hollin2 days ago
Final Answer :
B
Explanation :
If two events A and B are mutually exclusive and collectively exhaustive, the sum of their probabilities equals 1. Since they are equally likely, each event has a probability of 0.5, and the probability of A occurring is 0.5.
Learning Objectives
- Distinguish between events that are mutually exclusive and those that are collectively exhaustive, elucidating their respective definitions and the consequences for probabilistic outcomes.