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2. Statistical Experiment
- Is a process that generates data and
such
process can be repeated under similar
conditions.

3. Sample Space
- Set of all possible outcome of a
statistical
experiment
- Denoted by S
Sample Point
- refers to each outcome in the sample
space.

4. Event
-subset of the sample space
- Denoted by capital letter A, B, C,D,……,
Z
Nullspace or Empty Space
- an event that contains no sample point
-Also called Impossible event denoted by ∅,

5. Disjoint or mutually exclusive events
- Events that do not have a common
sample
point.

6. COUNTING
TECHNIQUES

7. COUNTING PRINCIPLES
A. FUNDAMENTAL PRINCIPLE OF
COUNTING (FPC)
B. PERMUTATION
C. COMBINATION

8. A.FUNDAMENTAL PRINCIPLE OF
COUNTING (FPC)
- If an operation can be performed in 𝑛1
ways and if for each of these a second
operation can be done in 𝑛2 ways, then
the two operations can be done in 𝑛1 ×
𝑛2, ways.

9. B. Permutations
-Is an ordered arrangement of all or a part of n
distinct objects.
Property 1 : The number of permutations of n
distinct objects taken all at a time is
n!
Property 2: The number of permutations of n
distinct objects taken r at a
time is n𝑃𝑟 =
𝑛!
𝑛−𝑟 !

10. Property 3: The number of permutations
of
n distinct object arranged in a
circle (n-1)!
Property 4: The number of distinct
permutations of n things of
which 𝑛1 are one of a kind ( or
a like ), 𝑛2 of a second kind ,
…., 𝑛 𝑘 of the kth kind is given
by
𝑛!
𝑛 ! 𝑛 !….𝑛 !

11. C. Combination
- Is the number f ways of selecting r objects
without regard to order . This is a special case
of
partitioning in which the elements are
automatically divided into two groups, the
selected ( composed of r objects) and the non-
selected ( composed of n-r objects)

13. Probability is a branch of mathematics
that deals with calculating the occurrence
of a given event.
Definition: The probability of an event A,
denoted by P(A), is the sum of the
probabilities of each sample points 𝑎1 ,
𝑎2, 𝑎3, … . . , 𝑎 𝑛
P(A) = P{}+P{}+P{}+P{}+P{}