Karteikarten
Probability
Karten in diesem Stapel (14)
- 1How can 2 events be classified?•Mutually exclusive
•Mutually inclusive - 2Which can be divided further and what are the names for these classifications? HINT: INCLudes inde and depen•Mutually inclusive
Can be divided into:
a) Independent
b) Dependent - 3What is the main difference between mutually exclusive and mutually inclusive?•Mutually exclusive has no intersection within a Venn diagram but mutually inclusive has.
•Therefore, mutually exclusive has no common values but mutually inclusive has. - 4What is the difference between Independent events and dependent events?•Independent occurs with replacement, whereas dependent doesn't.
•Also, independent events dont affect each other. - 5What is the significance of replacement within independent events but not in dependent events?•Dependent events can use conditional probability due to the lack of replacement.
- 6Distinguish between an event and a sample space?•A sample space is the set of ALL possible outcomes where as an event is a set of possible outcomes.
•An event does not ensure all the possible outcomes. - 7Distinguish between P(A ∪ B) and P(A ∩ B)?•P(A ∪ B) means EITHER A or B
•P(A ∩ B) means BOTH A and B - 8What are the formulas used in independent?•P(A) = (no. of ways A can occur)/sample space
•P(A′ ) = P(not A) = 1 – P(A)
•P(A ∪ B) = P(A) + P(B) – P(A ∩ B)
•P(A ∩ B′) = P(A) - P(A ∩ B)
•P(A ∪ B) = P(A) * P(B) - 9What are the formulas involving DeMorgan's theorem?P(A ∩ B)′ = P(A′ ∪ B′)
P(A ∪ B)′ = P(A′ ∩ B′) - 10What is the main formula used in mutually exclusive?P(A ∪ B) = P(A) + P(B)
- 11What is the special name given to the probability in dependent and give an example using A and B as eventsConditional probability (without replacement)
P(A | B) - 12What does P(A | B) mean?The probability that A has occurred given that we know that B has already occurred.
For A to occur, B must occur. - 13How can P(A | B) be written as in terms of the formulas used for independent?
- 14Mathematically prove that If we know event B has already happened, B can be used as the new sample space to find how event A can occur in the form n(A∩B)
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- A-Level Maths Karteikarten am Probability, erstellt von Jio Jenassi am 18/02/2016.
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- Jio Jenassi
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