Asked by Tiffany Santo on Jun 07, 2024
Verified
If A and B are independent events with P(A) = 0.60 and P(A|B) = 0.60,then P(B) is:
A) 1.20
B) 0.60
C) 0.36
D) cannot be determined with the information given
Independent Events
Two events are independent if the outcome of one does not affect the outcome of another.
P(A|B)
The likelihood of event A happening, provided that event B has already taken place, signifying a conditional probability.
- Characterize the distinctions between independent and dependent events.
- Grasp the significance of independence in event outcomes.
Verified Answer
JR
Jessica RaineJun 10, 2024
Final Answer :
D
Explanation :
Since A and B are independent, the probability of A given B is the same as the probability of A, which is given as 0.60. However, the probability of B cannot be directly determined from the information given about the independence of A and B and the probability of A alone.
Learning Objectives
- Characterize the distinctions between independent and dependent events.
- Grasp the significance of independence in event outcomes.