Conditional Probability

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•
Mathematics
•
12th Grade
•
Hard
+3
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is Conditional Probability?
Back
Conditional Probability is the probability of an event occurring given that another event has already occurred. It is denoted as P(A|B), which reads as 'the probability of A given B'.
Tags
CCSS.HSS.CP.A.3
CCSS.HSS.CP.A.5
2.
FLASHCARD QUESTION
Front
What is the formula for Conditional Probability?
Back
The formula for Conditional Probability is P(A|B) = P(A ∩ B) / P(B), where P(A ∩ B) is the probability of both events A and B occurring.
Tags
CCSS.HSS.CP.A.3
CCSS.HSS.CP.A.5
3.
FLASHCARD QUESTION
Front
What does P(A|B) represent?
Back
P(A|B) represents the probability of event A occurring given that event B has occurred.
Tags
CCSS.HSS.CP.A.3
CCSS.HSS.CP.A.5
4.
FLASHCARD QUESTION
Front
How do you interpret P(A|B) = 0.5?
Back
This means that if event B occurs, there is a 50% chance that event A will also occur.
Tags
CCSS.HSS.CP.A.3
CCSS.HSS.CP.A.5
5.
FLASHCARD QUESTION
Front
What is the relationship between P(A|B) and P(B|A)?
Back
P(A|B) and P(B|A) are not equal; they depend on the individual probabilities of A and B. They can be related through Bayes' Theorem.
6.
FLASHCARD QUESTION
Front
What is Bayes' Theorem?
Back
Bayes' Theorem relates the conditional and marginal probabilities of random events. It is expressed as P(A|B) = [P(B|A) * P(A)] / P(B).
7.
FLASHCARD QUESTION
Front
What is the significance of the Venn Diagram in Conditional Probability?
Back
A Venn Diagram visually represents the relationships between different events, helping to illustrate the intersections and unions of events, which are crucial for calculating probabilities.
Tags
CCSS.HSS.CP.A.1
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