Dr. Henjin Chi
1. What is the next term of the following sequence: 10, 10, 12, 16, 22, 30, 40, _
2. What is the next term of the following sequence: 0. 10, 24, 56, 112, 190, _
3. Find the fourth term of the sequences d
The probability of an event B occurring given that we know some other event A has already occurred is called a conditional probability, and is denoted by P(B|A).
P ( A I B) P ( B | A) = P ( A)
Math102 Fall 2004 Homepage
2.1 Basic Properties of Sets
A Set may be thought of as a collection of objects.
A Set can be presented as elements, members, it is
called the roster form.
A = cfw_ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Section 11.1 The Counting Principle
Combinatorics is the study of counting the different outcomes of some task. In combinatorics, an experiment is an activity with an observable outcome. The set of all possible outcomes of an experiment is called the sa
Addition and Complement Rule
Definition of Addition Rule (Page 731)
Addition Rule for Probabilities with Mutually
Two events A and B are mutually exclusive if they
cannot occur at the same time, i.e., the intersection
of A a
Section 11.2 Permutations and Combinations
Factorial n! = n(n-1)(n-2)321 Permutations A permutation is an arrangement of objects in a certain order. Permutation Formula for Distinct Objects
n! P ( n, k ) = . ( n k )!
A university Volleyball team
Section 5.3 Percents
Percent means "for every 100."
The unemployment of 5% means that 5 out
of every 100 people are unemployed.
An increase in tuition of 10% means that
tuition has gone up $10 for every $100 it
A percent is a ratio of a n
Section 5.2 Rate, Ratio,
A rate is a comparison of two quantities. A rate
can be written as a fraction.
A unit rate is a rate in which the number in the
denominator is 1.
To find a unit rate, divide the number in the
SECTION 2.2 Subsets
The Universal Set
The set of all elements that are being considered is
called the universal set. We will use the letter U to
denote the universal set.
The Complement of a Set
The complement of a set A, denoted by A', is the set
Section 2.3 Set Operations
Intersection of Sets
The intersection of sets A and B, denoted by A B,
is the set of elements common to both A and B.
A B = cfw_x | x is in A and x is in B
Let A = cfw_1, 4, 5, 7, B = cfw_2, 3, 4, 5, 6, and
C = cfw_3,
SECTION 2.4 Applications
EXAMPLE A movie company is making plans for future
movies it wishes to produce. The company has done
a random survey of 1000 people. The results of the
survey are shown below.
695 people like action adventures.
Dr. Henjin Chi
MATH 102 Section _
For following Questions. Using U = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 , T = 4, 8, 9 .
S = x x < 9 and x odd integers .
1. Find T .
2. Find S '.
3. Find the intersection of the following sets
Measures of Dispersion
The range of a set of data values is the
difference between the largest data
value and the smallest data value.
Example: Find the range of the data in the
following list: 5, 9, 23, 11, 7, 18, 9, and 3.