What is Conditional Probability?
Conditional Probability

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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. It is denoted as P(A|B), which reads 'the probability of A given B'.
2.
FLASHCARD QUESTION
Front
What is the formula for Conditional Probability?
Back
P(A|B) = P(A ∩ B) / P(B), where P(A ∩ B) is the probability of both A and B occurring.
3.
FLASHCARD QUESTION
Front
What does P(A|B) represent?
Back
It represents the probability of event A occurring given that event B has occurred.
4.
FLASHCARD QUESTION
Front
If P(A) = 0.5 and P(B) = 0.4, what is P(A|B) if P(A ∩ B) = 0.2?
Back
P(A|B) = P(A ∩ B) / P(B) = 0.2 / 0.4 = 0.5.
5.
FLASHCARD QUESTION
Front
What is the relationship between independent events and Conditional Probability?
Back
For independent events, P(A|B) = P(A). The occurrence of B does not affect the probability of A.
6.
FLASHCARD QUESTION
Front
How do you interpret P(B|A)?
Back
It is the probability of event B occurring given that event A has occurred.
7.
FLASHCARD QUESTION
Front
What is the Law of Total Probability?
Back
It states that if B1, B2, ..., Bn are mutually exclusive events that cover the entire sample space, then P(A) = Σ P(A|Bi)P(Bi).
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