What is Conditional Probability?
Conditional Probability

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Mathematics
•
12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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 'the probability of A given B'.
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 joint probability of both events occurring.
3.
FLASHCARD QUESTION
Front
What does P(Male | Full-time) represent?
Back
P(Male | Full-time) represents the probability that a student is male given that they are a full-time student.
4.
FLASHCARD QUESTION
Front
If P(Studies) = 8/9 and P(Passes and Studies) = 3/5, how do you find P(Passes | Studies)?
Back
Use the formula: P(Passes | Studies) = P(Passes and Studies) / P(Studies) = (3/5) / (8/9) = 27/40.
5.
FLASHCARD QUESTION
Front
What is the significance of the denominator in Conditional Probability?
Back
The denominator in Conditional Probability represents the total probability of the condition being true, which normalizes the probability of the event of interest.
6.
FLASHCARD QUESTION
Front
What is the formula for finding P(A | B) when given a contingency table?
Back
P(A | B) = (Number of outcomes where A and B occur) / (Total number of outcomes where B occurs).
7.
FLASHCARD QUESTION
Front
What does P(Plays Sport | Does Not Play Instrument) indicate?
Back
P(Plays Sport | Does Not Play Instrument) indicates the probability that a student plays a sport given that they do not play an instrument.
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