What is Conditional Probability?
Conditional Probability

Flashcard
•
Mathematics
•
12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The probability of an event occurring given that another event has already occurred.
2.
FLASHCARD QUESTION
Front
How is Conditional Probability calculated?
Back
P(A|B) = P(A and B) / P(B), where P(A|B) is the probability of A given B.
3.
FLASHCARD QUESTION
Front
What does P(A|B) represent?
Back
The probability of event A occurring given that event B has occurred.
4.
FLASHCARD QUESTION
Front
What is the formula for Total Probability?
Back
P(A) = P(A|B)P(B) + P(A|¬B)P(¬B), where ¬B is the complement of B.
5.
FLASHCARD QUESTION
Front
If P(A|B) = 0.5 and P(B) = 0.4, what is P(A and B)?
Back
P(A and B) = P(A|B) * P(B) = 0.5 * 0.4 = 0.2.
6.
FLASHCARD QUESTION
Front
What is the Law of Total Probability?
Back
It states that the total probability of an event can be found by considering all possible ways that event can occur.
7.
FLASHCARD QUESTION
Front
What is the difference between independent and dependent events?
Back
Independent events do not affect each other's probabilities, while dependent events do.
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