**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