1.2.1 Conditional Probability Flashcards
(5 cards)
1
Q
What is conditional probability?
A
The probability of an event occurring given that another event has occurred. It treats the conditioning event as the new sample space.
2
Q
What is the formula for conditional probability P(A | B)?
A
P(A | B) = P(A ∩ B) / P(B), provided P(B) > 0.
3
Q
What is the formula for conditional probability P(B | A)?
A
P(B | A) = P(A ∩ B) / P(A), provided P(A) > 0.
4
Q
What is the Multiplicative Law of Probability?
A
P(A ∩ B) = P(A)P(B | A) = P(B)P(A | B) since P(A ∩ B) = P(B ∩ A)
5
Q
How does conditioning affect the sample space?
A
It reduces the sample space to the conditioning event, focusing only on outcomes where that event occurs.
