Asked by Maurice Edwards on May 29, 2024
Verified
If events A and B are compatible, how do we calculate the probability of their disjunction?
A) Subtract the probability of A from the probability of B.
B) Add the probability of A to the probability of B.
C) Add the probability of A to the probability of B and then subtract the probability of A and B both occurring.
D) Multiply the probability of A by the probability of B.
E) Divide the probability of A by the probability of B.
Compatible Events
Events in probability that can occur together without contradiction; they are not mutually exclusive.
Disjunction
A logical operator that yields true if either or both of the operands are true.
Probability
The measure of the likelihood that an event will occur, often represented as a number between 0 and 1.
- Distinguish between the methods to calculate the probability of disjunctions and conjunctions in multiple events.
Verified Answer
ZK
Zybrea KnightJun 04, 2024
Final Answer :
C
Explanation :
When events A and B are compatible, it means they can both occur at the same time. In this case, we can calculate the probability of their disjunction (either A or B occurring) by adding the probability of A to the probability of B and then subtracting the probability of A and B both occurring. This is because if we simply add the probabilities of A and B, we will be double-counting the probability of both A and B occurring. Therefore, option C is the correct choice.
Learning Objectives
- Distinguish between the methods to calculate the probability of disjunctions and conjunctions in multiple events.
Related questions
Suppose That the Probability of One Event Is Known from ...
Which Operation of Probability Calculus Would Be Used to Determine ...
The Method of Frequency Assigns Probability by Finding the Frequency ...
Which of the Following Probabilities Would Be Best Determined by ...
We Can Only Apply the Method of Equal Alternatives When ...