AP Stat - Probability Rules!

Flashcard
•
Mathematics
•
8th Grade - University
•
Hard
+4
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of 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 means 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 calculating conditional probability?
Back
P(A|B) = P(A ∩ B) / P(B), where P(A ∩ B) is the probability of both A and B occurring.
Tags
CCSS.HSS.CP.A.3
CCSS.HSS.CP.A.5
3.
FLASHCARD QUESTION
Front
What does it mean for two events to be mutually exclusive?
Back
Two events are mutually exclusive if they cannot occur at the same time. For example, rolling a die cannot result in both a 2 and a 5.
4.
FLASHCARD QUESTION
Front
What is the formula for the probability of the union of two mutually exclusive events?
Back
P(A ∪ B) = P(A) + P(B) for mutually exclusive events.
Tags
CCSS.HSS.CP.B.7
5.
FLASHCARD QUESTION
Front
What is the definition of independent events?
Back
Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.
Tags
CCSS.HSS.CP.A.5
6.
FLASHCARD QUESTION
Front
What is the formula for the probability of the union of two independent events?
Back
P(A ∪ B) = P(A) + P(B) - P(A ∩ B) for independent events.
Tags
CCSS.HSS.CP.B.7
7.
FLASHCARD QUESTION
Front
How do you calculate the probability of at least one event occurring in a series of trials?
Back
P(at least one) = 1 - P(none). For example, if the probability of an event is p, then P(none) = (1 - p)^n.
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