Chance

Presentation

•

Mathematics

•

7th Grade

•

Practice Problem

•

Easy

Lee Wallace

Used 3+ times

FREE Resource

19 Slides • 32 Questions

Chance Intro

Mrs Wallace

ALL the possible outcomes.

Sample space

We would write:

{1, 2, 3, 4, 5, 6}

We would write:

{H, T}

Poll

What is the sample space of the spinner shown.

green, red, blue, yellow

green, green, green, red, yellow, yellow, blue, blue

not sure

Poll

What is the sample space of the spinner shown?

1, 2, 2, 2,

1, 2, 3

Assigning probability

We don't use the word PROBABILITY a lot. Instead we use Pr.

EXAMPLES:

Pr (heads)= probability of heads

Pr(6)= probability of getting a 6

pr(girl)= probability of a girl

Probabilities are between 0 and 1.

Yes! That means fractions, decimals and percentages

You roll a normal 6 sided dice. What is the probability of getting a 3?

Poll

Rolling a normal 6 sided dice. Pr(4)=

$\frac{1}{6}$

$\frac{5}{6}$

Poll

Rolling a normal 6 sided dice. Pr(4 or 6)=

$\frac{1}{6}$

$\frac{2}{6}$

Poll

P(green)=

$\frac{3}{8}$

$\frac{1}{8}$

Poll

Rolling a normal 6 sided dice. Pr(not a 4)=

$\frac{1}{6}$

$\frac{5}{6}$

Poll

P(not red)=

$\frac{1}{8}$

$\frac{7}{8}$

Poll

Pr(blue or yellow)=

$\frac{2}{8}$

$\frac{4}{8}=\ \frac{1}{2}$

Complementary Events

All the outcomes that we don't want.

Complements are shown with a '

Complementary Events - EXAMPLES

When the event is Heads, the complement is Tails

When the event is Monday, Wednesday the complement is Tuesday, Thursday, Friday, Saturday, Sunday

When the event is Hearts the complement is Spades, Clubs, Diamonds, Jokers

Poll

complement of rolling an even number

1, 2, 3

2, 4, 6

1, 3, 5

1, 2, 3, 4, 5, 6

no idea

Poll

Complement of rolling a 2 or 3

2 or 3

1, 4, 5, 6

1, 3, 5, 6

1, 2, 3, 4, 5, 6

no idea

Poll

Compliment of tails

head

tail

no idea

Poll

compliment of hearts or spades

hearts and spades

diamonds and hearts

diamonds and clubs

Probability of complementary events

5 red marbles, 3 blue marbles and 2 black marbles are place into the bag.

Poll

Using the spinner shown, Pr(red')

$\frac{1}{8}$

$\frac{7}{8}$

Poll

Using the spinner shown, Pr(blue')

$\frac{5}{8}$

$\frac{3}{8}$

no idea

Poll

Using the spinner shown, Pr(blue' or yellow')

$\frac{5}{8}$

$\frac{3}{8}$

no idea

Poll

Which statement has a probability of 0?

spinning red

spinning black

spinning blue

spinning yellow

no idea

Poll

This diagram is called a

circle

Venn diagram

Cats and Dogs

No idea

Reading Venn Diagrams

Multiple Choice

The left circle means people have

cats

Cats and Dogs

dogs

no idea

Multiple Choice

The right circle means people have

cats

Cats and Dogs

dogs

neither cats or dogs

no idea

Multiple Choice

Where the circles intersect means people have

cats

Cats and Dogs

dogs

neither cats or dogs

no idea

Multiple Choice

The outside of the circles means people have

cats

Cats and Dogs

dogs

neither cats or dogs

no idea

How many people were surveyed?

10+5+7+8=

How many people own a cat?

(how many people are in the cat circle)

How many people own a dog?

(how many people are in the dog circle)

How many people own only a cat?

How many people own only a dog?

How many people own both a dog and a cat?

How many people own either a dog or a cat?

How many people own neither a dog or a cat?

Fill in the Blanks

How many students were surveyed?

Type answer...

Fill in the Blanks

How many students took Physics?

Type answer...

Fill in the Blanks

How many students studied Maths?

Type answer...

Fill in the Blanks

How many students only studied Maths?

Type answer...

Fill in the Blanks

How many students only studied Physics?

Type answer...

Fill in the Blanks

How many students studied both?

Type answer...

Fill in the Blanks

How many students studied neither?

Type answer...

Probabilities in Venn Diagrams

PE vs Band

Multiple Choice

Pr(Soft drink)

$\frac{14}{30}$

$\frac{16}{30}$

Multiple Choice

Pr(neither)

$\frac{4}{30}$

$\frac{10}{30}$

Multiple Choice

Pr(Juice)

$\frac{12}{30}$

$\frac{10}{30}$

Multiple Choice

Pr(Juice')

$\frac{16}{30}$

$\frac{12}{30}$

$\frac{10}{30}$

Chance Intro

Mrs Wallace

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