1. 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)

2. Probability Vocabulary: Simple Event Compound Event Independent Events Dependent Events Created Originally by Mrs. Kennedy Altered By: Miss Huffman

3. Simple Event1Simple Event2 Compound Event Simple Event1 Simple Event2 Dependent Events Independent Events Separate Events Simple Events that affect each other

4. GO WOLF PACK Find P(O) for each bag. Find P(vowel) for each bag.

5. GO WOLF PACK Find P(O) for each bag. Find P(vowel) for each bag.

6. 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.

7. 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

8. 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

9. What is the probability of drawing a blue pencil? 4 13 ? Simple Event

10. What is the probability of drawing a blue pencil? 4 13 Simple Event

11. If you draw out a blue pencil, what is your friend’s P(blue)? 3 13 ? You now have a DEPENDENT EVENT. Your friend’s choices were affected by yours.

12. If you draw out a blue pencil, what is your friend’s P(blue)? 3 12 You now have a DEPENDENT EVENT. Your friend’s choices were affected by yours.

13. It’s afterschool and it’s been a tough – Time for a snack. What’s the P(pear)? 2/4 Once you’ve taken it, what’s your friend’s P(pear)? 1/3 ? ?

14. It’s afterschool and it’s been a tough – Time for a snack. What’s the P(pear)? 2/4 Once you’ve taken it, what’s your friend’s P(pear)? 1/3

15. 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)

16. 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

17. 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

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

19. 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

20. 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

21. 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

22. 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

23. 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

24. 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

25. Key Words Independent Events = with replacement Dependent Events = no replacement Brainstorm your own key words… Homework – both pages (independent and dependent events)

26. 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.

27. 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!!

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