zMath 180  - Unit 34: Compute Probability
1) Nine chips numbered 1 through 9 are placed in a box and mixed. Margie selected one chip from the box. What is the probability that Margie selected a chip that is a multiple of three?

2) In a bag of marbles, 1/12 of the marbles are red, 1/4 are blue, 1/2 are green, and 1/6 are yellow? If a marble is taken from the bag without looking, what color is it most likely to be drawn?

3) Jerrod rolls a single die. What is the probability that he will roll a number greater than four?

4) A standard deck of playing cards has 52 cards. These cards are divided into suits as shown in the table below. Find the probability of drawing a heart.

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5) James has three $1 bills, three $5 bills, two $10 bill, and two $20 bills in his wallet. Find the probability of randomly choosing a $20 bill on the first draw and a $5 bill on the second draw when the first bill is NOT replaced. State the letter of the correct answer.

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6) Find the probability of rolling a six on a die and landing on a six on the spinner after one spin. State the letter of the correct answer.

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7) One hundred tickets were sold at a raffle. One ticket was chosen at random as the winning ticket. If Amy bought 10 tickets and Ben bought 5 tickets, what is the probability that Amy or Ben won the raffle? State the letter of the correct answer.

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8) What is the probability of the spinner stopping on an odd number or the color green?

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In the game of scrabble, each player chooses seven letter tiles. There are a total of 100 tiles as shown in the table below. Refer to the examples and the table to answer the next two questions.

Example 1: If no tiles have been chosen, what is the probability of choosing an "A"?

Solution: Refer to the table below and notice that there are 9 "A" tiles. There are a total of 100 tiles in all. Therefore, the P(choosing an A) = 9/100.

Example 2: Suppose 22 tiles have already been chosen and two of them are "D" tiles. What is the probability of choosing a "D"?

Solution: There are 4 "D" tiles and two of them have already been chosen. Therefore, there are two remaining “D” tiles. There are 100 - 22 = 78 tiles left. Of those 78 tiles, two of them are "D" tiles. Therefore, the P(choosing a D) = 2/78 or 1/39.

9) If no tiles have been chosen, what's the probability of choosing an E?

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10) Suppose 20 tiles have already been chosen and six of them are “O” tiles. What is the probability of selecting an O? Explain the answer.

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Review

11) Graph both equations. State the coordinates of the point where the lines intersect (cross) and describe the appearance of the slopes of both equations.

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12) Graph each equation. State the coordinates of the point where the lines intersect (cross) and describe the appearance of the slope of both equations.

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13) Write a problem that includes a rate change from 20 MPH to 40 MPH. Include the answer to the problem.

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For the next four problems, graph the equations and then solve the problem.

14) Describe the change in graphs as the coefficients of “ x” increase.

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15) Describe the change in the graphs as the coefficients of “x” change from positive to negative.

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16) Graph the quadratic equation. What are the roots of the quadratic equation?

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17) Graph the quadratic equation. What are the roots of the quadratic equation?

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18) Is the graph linear or nonlinear?

19) Is the equation linear or nonlinear?

20) Is the equation linear or nonlinear?

21) Is the function represented in the table linear or nonlinear?

22) Find the missing ordered pair of a rectangle with three vertices as follows: (-3, 3), (-3, -3), (3, -3), (x, y).

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23) Find the missing ordered pair of a rectangle with three vertices as follows: (0, 5), (0, 0), (5, 5), (x, y).

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24) What algebraic expression represents the following phrase: seven times a number “n”, added to the square of the number? State the letter of the correct answer.

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25) Write an algebraic expression to represent the following phrase: two more than twice a number “x”.

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26) The sum of two numbers is 24 and their difference is 10. What are the two numbers? Let “x” equal the first number and “y” equal the second number. Write as an algebraic expression to represent the sum and write a second algebraic expression to represent the difference. State both algebraic expressions and state the solution to the system of equations.

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27) What is the sum of the interior angles of a pentagon?

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Consider the two data sets, and then solve the next three problems.

28) What is the mean of Set A? What is the mean of Set B? .

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29) What is the median of each set? What is the range of each set?

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30) Explain how the range shows a difference in the two sets.

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31) Describe the difference between discrete and continuous data.

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Refer to the following scenario to answer the next four questions: To relax at the end of the day, Aleah read a novel on Monday, Tuesday, and Wednesday evenings. She read an average of 20 pages per evening.

32) True or False. Aleah could have read 10 pages on Monday, 12 pages on Tuesday, and 14 pages on Wednesday.

33) True or False. Aleah could have read 19 pages on Monday, 20 pages on Tuesday, and 21 pages on Wednesday.

34) True or False. Aleah could have read 10 pages on Monday, 20 pages on Tuesday, and 30 pages on Wednesday.

35) True or False. Aleah could have read 10 pages on Monday, 15 pages on Tuesday, and 20 pages on Wednesday.

Refer to the following scenario to answer the next three questions: Clinton is taking orders for school spirit shirts. His customers can order a short-sleeved t-shirt, a long-sleeved t-shirt, or a sweatshirt. The color of the shirts may be blue, black, white, or yellow.

36) How many different design choices do Clinton’s customers have?

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37) Clinton’s father has no preferences and tells Clinton to order any type of shirt and any color. What is the probability that Clinton’s father will receive a blue short-sleeved t-shirt?

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38) What is the probability that Clinton’s father will receive a blue shirt (any type) or a black short-sleeved t-shirt?

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39) Maria made a scatter plot where she plotted the number of Category 3, Category 4, and Category 5 hurricanes by decade from 1890 through 2000 that originated in the Atlantic Ocean. What is the correlation between the numbers of hurricanes that are Category 3 or higher that make landfall as time passes by?

40) Simplify and solve the equation for “x”.

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Refer to the following scenario to answer the next three questions: Cindy is renting a summer cabin for $500 to have a party. She is surveying her friends to see how many will contribute to the rental cost.

41) Fill in the blanks: As the number of persons increase to help with the cost of the cabin equally, the amount per person will ________. This is an example of _________ variation.

42) Which equation represents the scenario in the previous problem if “y” equals the cost per person and “x” equals the number of persons?

43) If Cindy found 9 friends to help with the cost and they contributed equal amounts, how much would Cindy and each friend pay individually to rent the cabin?

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