Warm – UP --- March 5th • Pick Up – WE Week 23

Copy Down Vocabulary

Announcement Check List

• Registration Cards • Test Corrections (Statistics Test)

Review – Area Model (Check Homework from last Thursday night)

Probability

Vocabulary:• Simple Event• Compound Event• Independent Events• Dependent Events

Created Originally by Mrs. Kennedy

Altered By: Miss Huffman

Simple Event1 Simple Event2

Compound Event

Simple Event1Simple Event2

Dependent Events

Independent EventsSeparate Events

Simple Events that affect each other

GO WOLFPACK

Find P(O) for each bag.

Find P(vowel) for each bag.

GO WOLFPACK

Find P(O) for each bag.

Find P(vowel) for each bag.

Independent Events

• If the outcome of one event does not affect the outcome of another event, the events are called independent events.

P(A or B) = P(A) · P(B)

• Independent events are events that are separate from each other.

Independent Event

Two cards drawn at random with replacement from a standard deck of 52 playing cards. What is the probability of drawing a jack on the first draw and a queen on the second draw.

(4/52) (4/52) = (1/13) (1/13) = 1/169

Independent Event

Two cards drawn at random with replacement from a standard deck of 52 playing cards. What is the probability of drawing a jack on the first draw and a queen on the second draw.

(4/52) (4/52) = (1/13) (1/13) = 1/169

What is the probability

of drawing a blue pencil?

413?

Simple Event

What is the probability

of drawing a blue pencil?

413

Simple Event

If you draw out a blue

pencil, what is your friend’s

P(blue)?

313?

You now have a DEPENDENT EVENT. Your friend’s choices were affected by yours.

If you draw out a blue

pencil, what is your friend’s

P(blue)?

312

You now have a DEPENDENT EVENT. Your friend’s choices were affected by yours.

It’s afterschool and it’s been a tough –Time for a snack.

What’s the P(pear)? 2/4Once you’ve taken it, what’s your friend’s P(pear)? 1/3

?

?

It’s afterschool and it’s been a tough –Time for a snack.

What’s the P(pear)? 2/4Once you’ve taken it, what’s your friend’s P(pear)? 1/3

Dependent Events

• If the outcome of one event affects the outcome of another event, the events are called dependent events.

P(A and B) = P(A) · P(B following A)

FRUIT: There are 4 oranges, 5 apples in a fruit basket. Ignacio selects a piece of fruit at random and then Terrance selects a piece of fruit at random. Find the probability that two apples are chosen.

Since the first piece of fruit is not replaced, the first event affects the second event. These are dependent events.

P(first piece is an apple) = 5 / 9

P(second piece is an apple) = 4 / 8

P(two apples) = 5 x 4 = 20 = 5 9 8 72 18

FRUIT: There are 4 oranges, 5 apples in a fruit basket. Ignacio selects a piece of fruit at random and then Terrance selects a piece of fruit at random. Find the probability that two apples are chosen.

Since the first piece of fruit is not replaced, the first event affects the second event. These are dependent events.

P(first piece is an apple) = 5 / 9

P(second piece is an apple) = 4 / 8

P(two apples) = 5 x 4 = 20 = 5 9 8 72 18

FRUIT: There are 4 oranges, 5 apples in a fruit basket. Ignacio selects a piece of fruit at random and then Terrance selects a piece of fruit at random. Find the probability that two apples are chosen.

Since the first piece of fruit is not replaced, the first event affects the second event. These are dependent events.

P(first piece is an apple) = 5 / 9

P(second piece is an apple) = 4 / 8

P(two apples) = 5 x 4 = 20 = 5 9 8 72 18

FRUIT: There are 4 oranges, 5 apples in a fruit basket. Ignacio selects a piece of fruit at random and then Terrance selects a piece of fruit at random. Find the probability that two apples are chosen.

Since the first piece of fruit is not replaced, the first event affects the second event. These are dependent events.

P(first piece is an apple) = 5 / 9

P(second piece is an apple) = 4 / 8

P(two apples) = 5 x 4 = 20 = 5 9 8 72 18

FRUIT: There are 4 oranges, 5 apples in a fruit basket. Ignacio selects a piece of fruit at random and then Terrance selects a piece of fruit at random. Find the probability that two apples are chosen.

Since the first piece of fruit is not replaced, the first event affects the second event. These are dependent events.

P(first piece is an apple) = 5 / 9

P(second piece is an apple) = 4 / 8

P(two apples) = 5 x 4 = 20 = 5 9 8 72 18

MMM! Jolly Ranchers

• ``````````````````` In the bag, there are 3 green, 4 purple, 2 pink, 3 blue, and 6

red candies.

• What is the probability of drawing at random a pink then a blue? P(pink then blue)

2/18 x 3/17 = 1/9 x 3/17 = 1/3 x 1/17 = 1/51• Find P(two that are not green) 15/18 x 14/17

MMM! Jolly Ranchers

• ``````````````````` In the bag, there are 3 green, 4 purple, 2 pink, 3 blue, and 6

red candies.

• What is the probability of drawing at random a pink then a blue? P(pink then blue)

2/18 x 3/17 = 1/9 x 3/17 = 1/51• Find P(two that are not green) 15/18 x 14/17

MMM! Jolly Ranchers

• ``````````````````` In the bag, there are 3 green, 4 purple, 2 pink, 3 blue, and 6

red candies.

• What is the probability of drawing at random a pink then a blue? P(pink then blue)

2/18 x 3/17 = 1/9 x 3/17 = 1/51• Find P(two that are not green) 15/18 x 14/17

Mrs. Ameldo’s class has 5 students with blue eyes, 7 with brown eyes, 4 with hazel eyes, and 4 with green eyes.

Two students are selected at random.

14. P(two blue) 15 P(green then brown)16.P(hazel then blue) 17. P(brown then blue

Key Words

Independent Events = with replacement

Dependent Events = no replacement

Brainstorm your own key words…Homework – both pages (independent and dependent events)

How can you make your

friend’s probability the same as yours?

Put it back?You’ll sometimes see the words with or without replacing the item.

If you use the pencil and then replace it, your friend’s choice

isn’t affected by yours.

So always give back things you

borrow!!

http://school.nettrekker.com/goExternal?np=/sections/external/web/external.ftl&pp=/sections/external/web/external.ftl&evlCode=69387049315169855QXkpkj&productName=school&al=Middle

Brain Pop Check In:

http://school.nettrekker.com/goExternal?np=/sections/external/web/external.ftl&pp=/sections/external/web/external.ftl&evlCode=7534876339339134abnElJ&productName=school&al=Middle