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Algebra II Quiz IV Vocabulary
N/A
16
Mathematics
10th Grade
02/25/2009

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Term
fundamental counting principle for two events
Definition
if one event can occur in m ways and another event can occur in n ways, then the number of ways that both events can occur is m x n
Term
fundamental counting principle for three or more events
Definition
the fundamental counting principle can be extended to three or more events; for example, if three events can occur in m, n, and p ways, then the number of ways that all three events can occur is m x n x p
Term
permutation
Definition
an ordering of n objects
Term
n!=
Definition
n(n-1)(n-2)...(3)(2)(1)
Term
nPr=
Definition
n!/(n-r)!
Term
permutations with repetition
Definition
n!/(s1! · s2!·... x sk!)
Term
combination
Definition
a selection of r objects from a group of n objects where the order is not important
Term
nCr=
Definition
n!/((n-r)! x r!)
Term
binomial theorem
Definition
for any positive integer n, the binomial expansion of (a+b)2 is: (a+b)n=nC0anb0+nC1an-1b1+nC2an-2b2+...+nCna0bn; each term in the expansion of (a+b)n has the form nCran-rbr where r is an integer from 0 to n
Term
probability
Definition
a number from 0 to 1 that indicates the likelihood an event will occur
Term
theoretical probablity P(A)=
Definition

(number of outcomes in event A)/(total number of outcomes)

Term
odds in favor of event A=
Definition
(number of outcomes in A)/(number of outcomes not in A)
Term
odds against event A=
Definition
(number of outcomes not in A)/(number of outcomes in A)
Term
experimental probability P(A)=
Definition
(number of trials where A occurs)/(total number of trials)
Term
geometric probabilities
Definition
probabilities that are found by calculating a ratio of two lengths, areas, or volumes
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