Sets
A set with no elements
What is the empty set?
Used to help illustrate relationships among sets.
What is a Venn Diagram?
A sample spaces with equally likely outcomes.
What is probability?
The probability of A given B.
What is P(A|B)?
Given n(C)=6, n(M∩C)=4, and n(M∪C)=9
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What is n(M)?
Every element of A is also an element of B.
What is a subset?
A ∩ B
What is the intersection of set A and set B?
The set of all possible outcomes for an experiment.
What is sample space?
P(E|F)=P(E∩F)/P(F), where P(F) does not equal 0.
What is the conditional probability formula?
Given that A={a,b,c,d},
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How many subsets does set A have?
the set of all elements belonging to both set A and set B
What is the intersections of set A and set B?
A ∪ B
What is the union of set A and set B?
P(E) = n(E)/n(S)
What is the Basic probability formula?
P(E∩F)=P(F)*P(E|F) or P(E∩F)=P(E)*P(F|E)
What is the product rule of probability?
If a fair dice is rolled, the probability is ½.
What is the probability of rolling an odd(even) number?
A set of all elements belonging to set A, to set B, or to both sets
What is the union of two sets?
Given that A={1,3,8,9} B={2,3,6,10}, and U={1,…,10}.
{2,6,10}
What is A′∩B?
P(E∪F) = P(E) + P(F) − P(E∩F)
What is the union rule formula for probability?
P(F|E)=P(F) or P(E|F)=P(E)
What are Independent Events?
A jar contains 3 white, 4 orange, 5 yellow, and 8 black marbles.
The probability is ¼.
What is the probability of drawing a yellow marble?
2n
What is the formula to determine how many subsets there are of a given set?
Given that A={1,3,8,9} B={2,3,6,10}, and U={1,…,10}.
{1,2,4,5,6,7,8,9,10}
What is A′ ∪ B′?
Sometimes probability statements are given in terms of _______, a comparison of P(E) with P(E′).
What are odds?
P(E∩F)=P(E)*P(F)
What is the product rule for Independent events?
Given that U={all students in this school}, M={all students taking Algebra}, N={all students taking accounting}, and P={all students taking zoology}.
All students in this school not taking algebra.
What is M’?