AP Stats - Chapter 14 Probability
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the formula for calculating the probability of the intersection of two events, A and B?
Back
P(A ∩ B) = P(A) * P(B) if A and B are independent.
2.
FLASHCARD QUESTION
Front
How do you calculate conditional probability, P(A|B)?
Back
P(A|B) = P(A ∩ B) / P(B) where P(B) > 0.
3.
FLASHCARD QUESTION
Front
What does it mean for two events to be independent?
Back
Two events A and B are independent if the occurrence of one does not affect the occurrence of the other, i.e., P(A ∩ B) = P(A) * P(B).
4.
FLASHCARD QUESTION
Front
What is the probability of the complement of an event A, denoted as P(A^C)?
Back
P(A^C) = 1 - P(A).
5.
FLASHCARD QUESTION
Front
How do you find the probability of the union of two events, A and B?
Back
P(A ∪ B) = P(A) + P(B) - P(A ∩ B).
6.
FLASHCARD QUESTION
Front
What is a tree diagram and how is it used in probability?
Back
A tree diagram is a visual representation of all possible outcomes of an event, used to calculate probabilities of compound events.
7.
FLASHCARD QUESTION
Front
If P(A) = 0.2 and P(B) = 0.4, what is P(A ∩ B^C)?
Back
P(A ∩ B^C) = P(A) * P(B^C) = P(A) * (1 - P(B)) = 0.2 * 0.6 = 0.12.
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