TEACHERS
GALLERY
PRICING
SIGN IN
TRY ZURU
GET STARTED
Loop
Audio
Interval:
5s
10s
15s
20s
60s
Play
1 of 27
Slide Notes
Download
Go Live
New! Free Haiku Deck for PowerPoint Add-In
probability and chance
Share
Copy
Download
1
616
Published on Nov 26, 2015
No Description
View Outline
MORE DECKS TO EXPLORE
7 Strategies to Write a Speech with Ease
84413 views
10 ways
45032 views
TXLA Wrap-up 2015
9431 views
Techno Teaching
26873 views
How to make a portfolio
16966 views
What is Creativity
67693 views
PRESENTATION OUTLINE
1.
probability and chance
AN EXPLORATION IN RANDOMNESS
Photo by
wili_hybrid
2.
probability
The likelihood of a specific event occurring.
Photo by
Scott Wurzel
3.
experiment
Describes a situation involving random outcome(s)
Photo by
spacepleb
4.
Examples of experiments
Rolling a pair of dice
Drawing a card from a deck at random
Measuring heights of 100 people chosen randomly
Photo by
@Doug88888
5.
Random
Equally likely occurrence of all possible events without choice
Photo by
MarkyBon
6.
Outcome
A specific result of an experiment
Photo by
marsmet474
7.
Example outcomes
Getting doubles on a pair of dice
Drawing an Ace of Spades at random
Measuring a random person's height at 5'5"
Photo by
Justin.Taylor
8.
Sample space
The collection of all possible outcomes of an experiment
Photo by
nicubunu.photo
9.
example
Experiment: flipping two coins
Sample space: S = {HH, HT, TH, TT}
There are four outcomes in this sample space.
Photo by
brizzle born and bred
10.
Event
A specific outcome of interest in an experiment
Photo by
Jamie In Bytown
11.
EXAMPLE: Wanting to roll a YAHTZEE! when rolling a set of 5 dice at random (experiment)
Photo by
Curtis Gregory Perry
12.
Properties of probability
The probability of event A occurring is written as P(A).
For any event A, P(A) must always between 0 and 1.
P(impossible event) = 0, and P(certain event) = 1.
P(not A) = 1 - P(A).
P(not A) is known as the complement of A.
Photo by
woodleywonderworks
13.
P(A) is the ratio of all favorable outcomes (ways event can happen) over all possible events in sample space.
Photo by
mattlavery
14.
example
Desired event: rolling an even number on a die
# of favorable outcomes: 3
Total possible outcomes: 6
P(even #) = 3/6 or 1/2 (0.5, or 50%)
Photo by
Ravages
15.
LAW OF TOTAL PROBABILITY: The sum of all probabilities of events in a sample space must always add to 1.
Photo by
Arenamontanus
16.
compound probability
Probability of multiple events occurring in succession
Photo by
Images_of_Money
17.
Tree Diagram
Visual way to interpret compound probabilities
18.
independent events
Outcomes do not affect one another
Photo by
Ben McLeod
19.
examples
Rolling a pair of dice
Flipping a coin multiple times
Drawing numbers from a hat WITH replacement
Photo by
Micah Sittig
20.
dependent events
One outcome affects the other
Photo by
Luciano Belviso
21.
examples
Drawing three of the same card from a deck
Pulling two of the same letter in Scrabble
Getting an ace and a face card in Blackjack
Photo by
thelearningcurvedotca
22.
random variable
Value is the numerical outcome of an event
Photo by
K. van Santen
23.
Example
Experiment: rolling a die
Random variable X = number rolled on die
Sample space S = {1, 2, 3, 4, 5, 6}
These are values X can take on as a RV
Photo by
Leo Reynolds
24.
PROBABILITY DISTRIBUTION: Represents all outcomes of experiment as a function of the random variable
Photo by
Gamethyme
25.
relative frequency diagram
Graph representing probability distribution
26.
Theoretical proability
Probability we expect based on the math
Photo by
John-Morgan
27.
Experimental probability
Probability observed after multiple trials of experiment
Photo by
Serge Melki
Dan Coleman
https://www.facebook.com/blumtnmath87
×
Error!