General Series
Probability Events
Binomial Probability
Binomial Theorem
Miscellaneous
100
What type of sequence is a1+ a2+ a3+ ... an…
infinite
100
event where there are no outcomes in common
mutually exclusive
100
the experiment consists of a _________ repeated trials
fixed number n
100
_________ Triangle
Pascal's
100
in permutations, _______ matters
order
200
What type of sequence is a1+ a2+ a3+ ... an
finite
200
event where there are common outcomes
non mutually exclusive
200
The probability of a success, p, is _______ from trial to trial
constant
200
list the coefficients of the terms in the expression (x+y)^2 when it is expanded out
1 2 1
200
How many different ways can you arrange four people in a line
24
300
What do you call the sequence where each term is dependent on the previous
recursive
300
all outcomes NOT in the event (A’)
complement
300
Each trial results in ______ or a ______
success; failure
300
1 5 10 10 5 1 What is the binomial expansion that results in these coefficients
(x+y)^5
300
What is this the equation for: Sn = a1/(1-r)
Sum of infinite geometric sequences
400
What does summation notation represent
the sum of first ‘n’ terms of a sequence
400
event where the outcome of the first event DOES NOT affect the probability of the second event
independent
400
Each trial is _______ of the previous
independent
400
list the coefficients of the terms in the expression (x+y)^4 when it is expanded out
1 4 6 4 1
400
What do you call the probability of B after A happens
Conditional Probability
500
How do you calculate partial sums
the interval is used as the upper and lower bounds
500
event where outcome of the first DOES affect the probability of the second event
dependent
500
P(Event)=nCx(p^x)(q^(n-x)) What does each variable represent
n = number of trials p = probability of success x = number of successes q = probability of failure
500
How is Pascal's triangle structured
Ones outline the left and right sides if the triangle. The numbers in the triangle are equal to the sum of the numbers diagonally above them
500
explain the steps for mathematical induction
Let Pn be a statement involving the positive integer n. 1.Show P1 is true 1. Plug 1 in for n 2.Let k = n and assume the truth of Pk 3.Show Pk+1 is a true statement ⟶Then Pn must be true for all positive integers n
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