1.1 Probability Basics

Question 1

Random experiment

Answer 1

Process that leads to a single outcome

Question 2

Sample Space

Answer 2

N(S)= {….}
The collection of all possible outcomes

ALL RESULTS!

Question 3

Element

Answer 3

One outcome of an experiment

A RESULT

Question 4

Event

Answer 4

Element(s) of interest! N(A)

RESULT WE CARE ABOUT

Question 5

Complementary Event
-Written as?

Answer 5

Suppose you have event A, a subsect of S, all possible outcomes

Whatever is not included in A!

A^c or A WITH HAT -

Question 6

Union+ REMEMBER

Answer 6

A OR B OR BOTH!!!!!!!!!!!!!!!- INTERSECTION!!!!!!
(must subrtact intesection just so you dont ocunt the same thing twice!!! the diagram is still logically based)

Question 7

Intersections

Answer 7

WHEN TWO THINGS OVERLAP (FOOTBALL)

Question 8

Probability
-Formula

Answer 8

-How likely is a certain outcome to occur?
- P(x)=(n(A)/n(S))

Question 9

Steps on determining the probability of an event:

Answer 9

1. Determine the Sample Space n(S): ….
   YOU MUST DETERMINE ALL THE GIVEN POSSIBILITES
2. Determine event n(A):…..
   YOU MUST FIND HOW MANY TIMES WHAT YOU WANT ACC HAPPENS
3. Use probability formula!!

Question 10

Steps on determining n(S) if not given:

(When you do not know how many possibilities there are)

Answer 10

1. Draw a diagram! How many objects/stage, how many possibilities per object/stage?
2. Multiply together!!!
3. REMEMBER N(S)=r^m
   STAGES TO THE POWER OF POSSIBILITIES
   or
   TRIALS TO THE POWER OF OUTCOMES!!!

Question 11

What does Sample Space not have?

Answer 11

CONDITIONS! IT IS ALL POSSIBLE OUTCOMES

Question 12

How to remember n(S) formula?

Answer 12

T to power O
(TRIALS{m} to the power of OUTCOMES {r})

Question 13

AXIOMS OF PROBABILITY

Answer 13

P(s)=1 THE SAMPLE SPACE IS EQUAL TO ONE
0=<p></p>

Question 14

Complement Rule

Answer 14

P(A)+P(A^c)=1
COMP+BASE= WHOLE

Question 15

What is the intersection denoted as

Answer 15

n

Question 16

DeMorgans Laws

Answer 16

-Complement of the union is equal to the intersection of the complements
-The complement of the intersection is equal to the union of the complements

Question 17

Demorgans law practical knowledge:

Answer 17

-When you distibute the C sign for complement, flip the UNION/INT SIGN!!!!1
-Remember Union=A OR B OR BOTH- INTERSECTION
-INTERSECTION=OVERLAP

Question 18

Memorize: P(AUB)
P(AUB)^C
P(A)
P(A)^C
P(B)
P(B)^C
P(AnB)
P(AnB)^C

Answer 18

-THE CIRCLES ARE ALL COLOURED IN
-Everything but the circles are coloured in
-All of A is coloured
-Everything excep A is coloured
-All of B is coloured
-Everthing accept B is covered
-The football
-Everything except the football