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for factorials, the numbers must be
natural (positive whole numbers)
P(n, r) =
n!/(n-r)! (must show work. cannot only use calc unless it is a word problem and you introduce the notation)
calculating the permutations of a circle
x!/x = (x-1) x-1 is the answer
sum of terms in nth row
2^n
0! =
1
area under curve =
1
requirements for it to be a proper prob distribution
all must be pos
must equal to 1
game is “fair” if the expected value =
the cost
0
p =
probability of success
q =
probability of failure
if n is an even number, the median is the
average between the two middle numbers
n(A)
number of elements in desired event A
n(S)
number of total elements in sample space
odds
ratio of success : fail
in terms of money, odds in favour of A =
money wagered / money won
payout =
money bet + money won
in terms of money, odds against A =
money won / money wagered
in the general term for bi theorem, r must be
a natural number
constant term
x to the exponent 0
disjoint
when two sets have no elements in common
subset
if ALL elements of one set is included in another
universal set is usually denoted as
S or U
expected value for geometric distribution is the
expected wait time until success