Definitions
The range in which probability is expressed
0-1
The set of all possible outcomes of an experiment
The thoery that if a experiment is repeated an extremely large number of times and a particular outcome occurs a percentage of the time, then that particular percentage is close to the probability of that outcome.
Relative Frequency Theory
The rule in which if two events A and B are independent than P(A ∩ B) = P(A) x P(B)
A: The simple multiplication rule
The simple multiplication rule
On a NY license plate, is New York on the top or bottom?
TOP
The definition of the word "probability" in math.
Is a number that reflects the chance or likelihood that a particular event will occur.
Sample Space of throwing a coin twice
U:{hh,ht,th,tt}
Age Group Probability
16-18 0.06
19-21 0.47
22-24 0.29
Over 24 0.18
The probability of them being younger than 24:
1 - 0.18 = 0.82
In a group of 200 students, 120 take Spanish, 60 take French, 10 take both
Find the probability that a student selected takes French and Spanish,but not both.
P(S U F) - P(S ∩ F ) = 170/200 - 10/200 = 160/200 = ⅘
On the back of a dollar bill, what is in the center?
ONE
Inferential Statistics
Diagrams to showcase probability and randomness
Tree Diagram and Venn Diagram
The name for two events that have no outcomes in common are called
Disjointed Events and Mutually Exclusive Events
For events X and Y, P(X) = 0.6, P(Y) = 0.8 and P(X U Y) = 1 Find P(X ∩ Y)
P (X ∩ Y ) = P(X) + P(Y) - P(X U Y) = 0.6 + 0.8 - 1 = 0.4
What does Hermione (In Harry Potter: The Sorcerer’s Stone) turn into after drinking a transfiguration potion?
Cat
The study of randomness and uncertainty
Probability
Q: Three events are defined as
A= the person is male
B= The person is female
C= The person is single
Interpret in the context of the situation A U B
The probability from a ordinary deck of 52 cards that you draw a card without a face
There are 12 face cards. We will use the probability of the complementary
event:
(P) A(iv)= 1 - P(Aiv’)= 1 - 12/52 = 1 - 3/13 = 10/13
Are the grades and gender independent or each other?
(Picture is in Doc)
Not independent
Worldwide, how many Disney theme parks are there?
11
A mathematical function that describes the probability of different possible values of a variable.
Probability Distribution
Q: Nick flips a coin 3 times and each time he notes whether it is heads or tails
i. Sample Space of experiment
ii Event that heads occurs more than tails
i. S =(h, h, h), (h, h, t), (h, t, h), (t, h, h), (h, t, t), (t, h, t), (t, t, h), (t, t, t)
ii. A =(h, h, h), (h, h, t), (h, t, h), (t, h, h)
Box contained 8 chips numbered 1-8 and two are chosen at random, added together and what is the probability that the sum is 7.
P(A) = 6/56 = 3/ 28 = 0.107
Find the probability that at least one six appeared.
P(C) = 1- P(C’) = 1 - ⅚ x ⅚ x ⅚ = 1 - 125/216 = 91/216
What is the national summer sport of Canada?
Lacrosse