Asked by Dante Bibbs on Sep 25, 2024
Verified
If P(A)= .30,P(B)= .60,and P(A and B)= .20,then P(A|B)= .40.
Conditional Probability
The likelihood of one event happening when it's known that a different event has already taken place.
Intersection
The point at which two lines or paths cross each other, or the set of elements common to two or more sets.
- Compute conditional probabilities and comprehend their consequences.
Verified Answer
AO
ALSON Ogarro2 days ago
Final Answer :
False
Explanation :
To find P(A|B), we use the formula: P(A|B) = P(A and B)/P(B)
Substituting the given values, we get: P(A|B) = 0.20/0.60 = 1/3 = 0.33
Therefore, the statement "P(A|B) = 0.40" is false.
Substituting the given values, we get: P(A|B) = 0.20/0.60 = 1/3 = 0.33
Therefore, the statement "P(A|B) = 0.40" is false.
Learning Objectives
- Compute conditional probabilities and comprehend their consequences.