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Day 13 Independent and Dependent Events.notebook
1
April 01, 2013
Do Now
AIM: Independent and Dependent Events
Every Spring the Devins family rents a powerful vacuum cleaner to clean all the carpets and rugs in their apartment. The cost is $42.99 for a three day rental. Which equation below shows the cost of the rental, r, for any number of days, d?
A r = 42.99dB r = d + 42.99C r = 14.33dd r = 14.33d + 42.99
Day 13 Independent and Dependent Events.notebook
2
April 01, 2013
Anticipatory SetAnswer the following in complete sentences.
1.) Using your knowledge of American History, describe what independence and dependence means.
Independence Dependence
Day 13 Independent and Dependent Events.notebook
3
April 01, 2013
Independent Events: One event does NOT effect the probabilityof the other.
Dependent Events: One event does effect the probabilityof the other.
State whether each set of events is independent or dependent. Explain each answer.1.) Erica flips a coin and then she rolls a die.
2.) John chooses a classmate for his group and then chooses another classmate for his group.
3.) Jane rolls a six sided die and then rolls another six sided die.
Day 13 Independent and Dependent Events.notebook
4
April 01, 2013
Theoretical Probability of Two Independent EventsP(A and B) =
1.) Find the theoretical probability of getting a head on a coin and then rolling a five on a six sided die.
Day 13 Independent and Dependent Events.notebook
5
April 01, 2013
Theoretical Probability of Two Dependent EventsP(A and B) =
2.) Steve has three $1 bills, five $10 bills, and two $20 bills in his wallet. If he picks one bill at a time at random, what is the probability of him picking two $20 bills?
Day 13 Independent and Dependent Events.notebook
6
April 01, 2013
1.) A reading list contains 5 historical books and 3 science-fiction books. What is the probability that Alex will randomly choose a historical book for his first report and a science-fiction book for his second without replacement?
hist
oric
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hist
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hist
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hist
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hist
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scie
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Day 13 Independent and Dependent Events.notebook
7
April 01, 2013
2.) Find the probability of choosing a green marble at random from a bag a 5 green and 10 white marbles and then getting a tail on a coin flip.
Day 13 Independent and Dependent Events.notebook
8
April 01, 2013
3.) Jill has seven quarters in her pocket. Of these, three are “Delaware” quarters, two are “Georgia” quarters, one is a “Connecticut” quarter, and one is a “Pennsylvania” quarter. Jill removes one quarter at random and then removes a second quarter at random without replacing the first quarter. What is the probability that both will be “Delaware” quarters?
Connecticut
Georgia
Pennsylvania
Delaware
Delaware
Georgia
Delaware
Day 13 Independent and Dependent Events.notebook
9
April 01, 2013
4.) On a multiple choice test, each question had four possible answers. A student does not know the answers to two questions, so he guesses. What is the probability that the student will get both answers wrong?
1.) The sky is:
a.) Blue b.) Black c.) Red d.) Orange
2.) 2 + 2 =
a.) 2 b.) 3 c.) 4 d.) 5
Day 13 Independent and Dependent Events.notebook
10
April 01, 2013
5.) In a bag there are 5 blue, 2 red, and 3 green marbles. What is the probability of choosing a blue marble at random and then choosing a green marble if you replace the first marble?
Day 13 Independent and Dependent Events.notebook
11
April 01, 2013
EXTRA PRACTICE
Day 13 Independent and Dependent Events.notebook
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April 01, 2013
BEFORE YOU LEAVE
1.) Explain, in a complete sentence, whether the probability of two events is greater or less than the probability of each individual event.
2.) How are dependent and independent events similar and different?
Day 13 Independent and Dependent Events.notebook
13
April 01, 2013
Homework: Castle Assignment #7 due Wednesday
Mr. Tjersland's Math 7
Day 13 Independent and Dependent Events.notebook
14
April 01, 2013
AIM: Independent and Dependent Events
2.) Find the probability of choosing a green marble at random from a bag a 5 green and 10 white marbles and then getting a tail on a coin flip.
Theoretical Probability of Two Independent EventsP(A and B) = P(A) P(B)
Day 13 Independent and Dependent Events.notebook
15
April 01, 2013
AIM: Independent and Dependent Events
1.) A reading list contains 5 historical books and 3 science-fiction books. What is the probability that Alex will randomly choose a historical book for his first report and a science-fiction book for his second without replacement?
hist
oric
al
hist
oric
al
hist
oric
al
hist
oric
al
hist
oric
al
scie
nce-
fict
ion
scie
nce-
fict
ion
scie
nce-
fict
ion
Theoretical Probability of Two Dependent EventsP(A and B) = P(A) P(B after A)
