Conditional Probability

Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
+5
Standards-aligned
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15 questions
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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 means the probability of event A occurring given that event B has occurred.
Tags
CCSS.HSS.CP.A.3
CCSS.HSS.CP.A.5
2.
FLASHCARD QUESTION
Front
How is Conditional Probability calculated?
Back
Conditional Probability is calculated using the formula: P(A|B) = P(A and B) / P(B), where P(A and B) is the probability of both events occurring and P(B) is the probability of event B.
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
If P(A) = 0.4 and P(B) = 0.5, what is P(A|B) if P(A and B) = 0.2?
Back
P(A|B) = P(A and B) / P(B) = 0.2 / 0.5 = 0.4.
Tags
CCSS.HSS.CP.A.3
CCSS.HSS.CP.A.5
5.
FLASHCARD QUESTION
Front
What is the relationship between independent events and Conditional Probability?
Back
For independent events, P(A|B) = P(A). This means the occurrence of event B does not affect the probability of event A.
Tags
CCSS.HSS.CP.A.3
6.
FLASHCARD QUESTION
Front
What is the probability of event A if P(A|B) = 0.6 and P(B) = 0.5?
Back
To find P(A), you need P(A and B). If P(A|B) = 0.6, then P(A and B) = P(A|B) * P(B) = 0.6 * 0.5 = 0.3.
7.
FLASHCARD QUESTION
Front
What is the complement of an event?
Back
The complement of an event A, denoted as A', is the event that A does not occur. The probability of the complement is given by P(A') = 1 - P(A).
Tags
CCSS.HSS.CP.A.1
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