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Day 17: Data and ProbabilityGoal: To find the probability of independent or

dependent events AND To solve problems involving permutations and combinations.

Standard: 9.4.3.1 – Select and apply counting procedures, such as the multiplication and addition principles and tree diagrams, to determine the size of a sample space (the number of possible outcomes) and to calculate probabilities.

Guiding Question: How can I find the probability of an event? AND How can I determine the amount of times an event will occur?

Materials: Pencil, Folder, Student Packet

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Conversions:How many feet are

in 3.5 yards?

"When converting make sure your labels cancel”

Time:

"The short hand on the clock

gives the hour, the long hand

gives the minute"

Find the perimeter:

"Perimeter is the

distance around an

object"

Reflection Starters: “I know……” or “I need to work on……”

Math Review Day 17

€ €

Mental

Math

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Access:Find the theoretical probability of each

outcome. A) rolling a 6 on a number cube

B) rolling on an odd number on a number cube C) flipping a coin and it landing heads up

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Independent Event:

Dependent Event:

Tell whether each set of events is independent or dependent. Explain your answer. :

A) You select a card from a standard deck of cards and hold it. A friend selects another card from the same deck

B) You flip a coin and it lands heads up. You flip the same coin and it lands heads up again.

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Try: Tell whether each set of events is independent

or dependent. Explain your answer, A) A number cube lands showing an odd

number. It is rolled a second time and lands showing a 6.

B) One students in your class is chosen for a project. Then another student in the class is chosen.

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Probability of Independent Events: If A and B are independent events, then P(A and b) = P(A) P(B)

A) An experiment consists of randomly selecting a marble from a bag, replacing it and selecting another marble. The bag contains 3 red marbles, and 12 green marbles. What is the probability of selecting a red marble, and then a green marble?

B) A coin is flipped 4 times, what is the probability of flipping 4 heads in a row?

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Try: An experiment consists of spinning the spinner

twice. What is the probability of spinning two odd numbers?

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Probability of Dependent Events: If A and B are dependent events, then

P(A and B) = P(A) P(B after A) A) A snack cart has 6 bags of pretzels and 10

bags of chips. Grant selects a bag at random, and then Iris selects a bag at random. What is the probability that Grant will select a bag of chips?

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Try: A bag has 10 red marbles, 12 white marbles and

8 blue marbles. Two marbles are randomly drawn from the bag. What is the probability of drawing a blue marble and then a red marble?

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Fundamental Counting Principle: If there are m ways to choose a first item and n ways to choose a second item after the first item has been chosen, then there are mn ways to choose both items.

A) A voicemail system password is 1 letter followed by a 3-digit number less than 600. How many different voicemail passwords are possible?

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Try) A sandwich can be made with 3 different types

of bread, 5 different meats and 2 types of cheese. How many types of sandwiches can be made if each sandwich consists of one bread, one meat, and one cheese?

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Compound Event:

Combination:

Permutation:

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Tell whether each situation involves combinations or permutations. Then give the number of possible outcomes.

A) An English test contains 5 different essay questions labeled A, B, C, D and E. You are supposed to choose 2 to answer. How many different ways are there to do this?

B) A family of 3 plans to sit in the theater. How many ways can the family be seated in 3 seats

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Try: A) Ingrid is stringing three different types of

beads on a bracelet. How many ways can she use one bead of each type to string the next three beads?

B) Nathan wants to order a sandwich with two of the following ingredients: mushroom, eggplant, tomato and avocado. How many different sandwiches can Nathan choose?

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Factorial:

A) Four people need to be selected from a class of 15 to help clean up campus. How many different ways can the 4 people be chosen?

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Try:A basketball team has 12 members who can play

any position. How many different ways can the coach choose 5 starting players?

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Exit Slip: (on a half-sheet of scratch paper)A) Tell whether the set of events is independent or

dependent and explain your answer: flipping two different coins and each coin landing showing heads

B) Eight cards are numbered from 1 to 8 and placed in a box. ne card is selected at random and not replaced. Another card is randomly selected. What is the probability that both cards are greater than 5?

C) You are ordering a triple-scoop ice-cream cone. There are 18 flavors to choose from and you don’t care which flavor is on the top, middle, or bottom. How many different ways can you selected a triple-scoop ice-cream cone?