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Probability

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by

Kylie A.

on 13 January 2015

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Transcript of Probability

tree diagrams
probability?
Theoretical PROBABILITY
Making predictions from Data
P (event) * number of trials = number of predicted success


PROBABILITY
Probability is the chance
of something happening.
THERE ARE TWO TYPES OF probability...
EXPERIMENTAL
THEORETICAL
Prezi By: Kylie A., Sophie G., Quinn B., and Lulu D.
what is
Experimental
KEY TERMS
Probability?
What is
OUTCOME - the result of an action. Ex: Flipping a coin and it landing on heads.

EVENT - an outcome or group of
outcomes. Ex: Pointer landing on blue is an event

PROBABILITY OF AN EVENT - a number that describes how likely it is that the event will occur. Ex: 1/2 OR 50% a coin will land on heads.
YOu're playing Rock paper scissors.
Here are the results:
ROll 1:
roll 2:
ROll 3:
roll 4:
Rock
Scissors
Paper
Rock
The
experimental probability
that you will play
ROCK
Theoretical
probability is in theory what would happen. There is
no guaranty
that the event will happen that way.
is:
Flipping a coin and it landing on tails
Event:
1
2
4
or
*
12
on numbers a In the picture above, the THEORETICAL probability that you will spin a
red
item is 1/4 times, and if you were to spin a white, it would be 2/4 or 1/2.


=
6
predicted outcome
Question: If you were going to flip a coin 12 times, how many times would the coin land on tails.
Show the probability of all the possible outcomes.
P(event)
or
theoretical probability
TREE DIAGRAMS ARE TO...
number of times event occurs
SPINNING A SPINNER (5 colors; red, blue, green, purple, yellow)AND THEN TOSSING A COIN.
what is the PROBABILITY THAT YOU WILL SPIN RED AND TOSS A Heads?
Let's use a tree diagram to find out
Spinner
Coin
outcome
RED

BLUE

GREEN

PURPLE

YELLOW
H
T
H
T
H
T
H
You're playing Rock, Paper, Scissors.
T
Roll 1: Rock
H
T
Roll 2: Scissors
The Counting Principal
RH
RT
BH
BT
GH
GT
PH
PT
YH
YT
Roll 3: Paper
Roll 4: Rock
Roll 5: Rock
Roll 6: Rock
The Counting Principal is multiplying to find the different combinations for an event.
Independent Event
Roll 7: Paper
An independent event is when the first event doesn't effect the second event.
4
7
EXAMPLE
2
7
1
7
I rolled a 6
EXAMPLE:
You're ordering a hamburger. You have 4 meat choices, 2 tomato choices, 5 cheese choices, 2 bun choices, and 2 lettuce choices How many different burgers can you have?
2 x 2 x 2 x 4 x 5 = 160
permutations
Not independent Event or dependent event
Permutations is the arrangement of objects in a particular order.
let's look at an example!
A not independent event is when the first event effects the outcome of the second event.
EXAMPLE:
COMPOUND EVENTS
two or more separate events
To find the probability of a compound event you have to multiply the two fractions of each event
example:
I roll a
I roll a six sided cube, and flip a coin. What is the chance that I will roll a 6 and flip a heads
1 1 1
2 6 12
*
Chloe is sending a text. Find the permutations of the emojis.
=
4
3
2
1
*
*
*
=
24
rh
1
10
KEY WORDS
Experimental probability is gathering information from an experiment and using the outcome to find the probability.
I FLIPPED A COIN
I took a marble from a bag and didn't replace it. Then took another marble from the bag
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