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Warm UP --- March 5 th. 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 - PowerPoint PPT Presentation

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What is the probability of drawing a blue pencil?

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)

1ProbabilityVocabulary:Simple EventCompound EventIndependent EventsDependent Events

Created Originally by Mrs. Kennedy

Altered By: Miss Huffman2Simple Event1Simple Event2

Compound Event

Simple Event1Simple Event2Dependent EventsIndependent EventsSeparate EventsSimple Events that affect each other3GOWOLFPACKFind P(O) for each bag.

Find P(vowel) for each bag.4GOWOLFPACKFind P(O) for each bag.

Find P(vowel) for each bag.5Independent EventsIf 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.

6Independent EventTwo 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 7Independent EventTwo 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 8What is the probability of drawing a blue pencil?413

?Simple Event9What is the probability of drawing a blue pencil?413

Simple Event10If you draw out a blue pencil, what is your friends P(blue)?313

?You now have a DEPENDENT EVENT. Your friends choices were affected by yours.11If you draw out a blue pencil, what is your friends P(blue)?312

You now have a DEPENDENT EVENT. Your friends choices were affected by yours.12Its afterschool and its been a tough Time for a snack.

Whats the P(pear)? 2/4Once youve taken it, whats your friends P(pear)? 1/3

??13Its afterschool and its been a tough Time for a snack.

Whats the P(pear)? 2/4Once youve taken it, whats your friends P(pear)? 1/3

14Dependent EventsIf 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)

15FRUIT: 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

16FRUIT: 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

17FRUIT: 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

18FRUIT: 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.

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

19FRUIT: 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.

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

20MMM! 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 = 1/51Find P(two that are not green) 15/18 x 14/17

21MMM! 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 = 1/51Find P(two that are not green) 15/18 x 14/17

22MMM! 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 = 1/51Find P(two that are not green) 15/18 x 14/17

23Mrs. Ameldos 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 blue24Key Words Independent Events = with replacement

Dependent Events = no replacementBrainstorm your own key wordsHomework both pages (independent and dependent events) 25How can you make your friends probability the same as yours?Put it back

?Youll sometimes see the words with or without replacing the item.26If you use the pencil and then replace it, your friends choice isnt affected by yours.

So always give back things you borrow!!

27http://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

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