AQR 1st 9 weeks Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____1.There are many different license-plate systems being used in the United States. Which system provides for the greatest possible number of license plates?
A. / License plates display three letters and three digits.B. / License plates display two letters and four digits.
C. / License plates display five letters.
D. / License plates display four letters and two digits.
Herman is playing a new video game “The Nightmare of Plenty” in which the object of the game is to find pies. To do so, he must travel though several levels, clashing with chille peppers and dangerous hotdogs. In one part of the game Herman must pass though two ovens (Oven 1, then Oven 2) to get to the next level.
1) The chance that Oven 1 is open is 10%
2) The chance that Oven 2 is open is 30%
3) The game designer has programmed the ovens so that the probability of th both being open at the same time is .05.
____2.Which Venn Diagram Matches this situation?
A. / / C. /B. / / D. /
____3.Which is the Tree Diagram for this situation?
A. / / C. /B. / / D. /
____4.What is the probablity that both ovens will be open at the same time?
A. / 0.10 / C. / 0.05B. / 0..30 / D. / Cannot Be Determined
____5.What is the probablity that neither of the ovens are open?
A. / .50 / C. / .35B. / .01 / D. / .65
Short Answer
6.Use the table.
a. / How many possible pairs of jeans are there if each pair has one style and one color?b. / Suppose you have one pair of jeans of each possible style and color in the table. What is the probability of choosing a pair of black jeans at random?
Style / Color
regular / light blue
loose fit / indigo
boot cut / washed
slim fit / black
Blue
White
7.A panel of judges must consist of four women and three men. A list of potential judges includes seven women and five men. How many different panels could be created from this list?
8.The Burger Diner offers burgers with or without any or all of the following: catsup, lettuce, onion, tomato, mustard, and mayonnaise. How many different burgers can you order?
9.At Cedar Valley Middle School, of the 6th-grade students have brown hair. What percent of 6th-grade students do not have brown hair?
10.Jamal spent of a day at his aunt’s house. If there are 1440 minutes in a day, how many minutes did Jamal spend at his aunt’s house?
11.This chart represents how a group of elementary students in New York City get to school.
Transportation Mode / Number of Elementary Studentsbus / 16
subway / 26
car / 11
foot / 22
Of 3,000 elementary students in New York City, what is the best prediction of how many will walk to school?
12.Suppose you roll two number cubes and pick a letter of the alphabet at random. Find the probability you roll 2 numbers greater than 2 and pick one of the vowels a, e, i, o, or u.
13.Jason and Kyle both choose a number from 1 to 10 at random. What is the probability that both numbers are odd?
14.In your last 23 basketball games, you attempted 101 free throws and made 66. Find the experimental probability that you make a free throw. Write the probability as a percent, to the nearest tenth of a percent.
15.You work at a T-shirt printing business. Of the 2,800 T-shirts shipped, 396 have a defect. What is the experimental probability that a T-shirt has a defect? Write your answer as a percent, to the nearest tenth of a percent.
16.A bag contains 4 blue marbles, 4green marbles, 12 red marbles, 8 yellow marbles, and 4 purple marbles. What is the probability of randomly pulling out either a blue or a red marble?
17.Billy tosses three fair coins. What is the probability that all three coins will land heads up?
18.Sharon orders a small bowl of fruit salad that comes with 8 grapes, 4 strawberries, 6 blackberries, and 8 blueberries. If Sharon randomly eats one piece of fruit at a time, what is the probability that the first piece of fruit she will eat will be a strawberry and the second will be a blueberry?
19.Aiden rolls a number cube. What is the theoretical probability of rolling an even number first and then a 3?
20.An experiment consists of rolling a number cube. What is the probability of rolling a number greater than 4? Express your answer as a fraction in simplest form.
AQR 1st 9 weeks Review
Answer Section
MULTIPLE CHOICE
1.ANS:DPTS:1DIF:L3
REF:12-4 Counting Outcomes and Theoretical ProbabilityOBJ:12-4.1 Counting Possible Choices
NAT:NAEP 2005 D4b | NAEP 2005 D4eSTA:TX TEKS 8.11B
TOP:12-4 Example 2KEY:counting principle
2.ANS:CPTS:1STA:TX TEKS 8.11B
KEY:probability
3.ANS:DPTS:1
4.ANS:CPTS:1STA:TX TEKS 8.11A
5.ANS:CPTS:1
SHORT ANSWER
6.ANS:
20 pairs;
PTS:1DIF:L3REF:12-4 Counting Outcomes and Theoretical Probability
OBJ:12-4.1 Counting Possible ChoicesNAT:NAEP 2005 D4b | NAEP 2005 D4e
STA:TX TEKS 8.11BTOP:12-4 Example 2
KEY:counting principle | theoretical probability
7.ANS:
150 panels
PTS:1DIF:L4REF:12-6 Permutations and Combinations
OBJ:12-6.2 CombinationsTOP:12-6 Example 4
KEY:combinations
8.ANS:
8 burgers
PTS:1DIF:L3REF:12-6 Permutations and Combinations
OBJ:12-6.2 CombinationsTOP:12-6 Example 3
KEY:combinations
9.ANS:
37.5%
PTS:1DIF:L3STA:11TX TAKS 9.8.3B | TX TEKS 8.3B
KEY:proportions | percent
10.ANS:
960 minutes
PTS:1DIF:L3STA:11TX TAKS 9.8.3B | TX TEKS 8.3B
KEY:proportions
11.ANS:
800
PTS:1DIF:L3STA:11TX TAKS 9.8.11B | TX TEKS 8.11B
KEY:experimental probability
12.ANS:
PTS:1DIF:L3REF:12-4 Counting Outcomes and Theoretical Probability
OBJ:12-4.2 Finding Probability by Counting OutcomesNAT:NAEP 2005 D4b | NAEP 2005 D4e
STA:TX TEKS 8.11BTOP:12-4 Example 4
KEY:theoretical probability | counting principle
13.ANS:
PTS:1DIF:L3REF:12-4 Counting Outcomes and Theoretical Probability
OBJ:12-4.2 Finding Probability by Counting OutcomesNAT:NAEP 2005 D4b | NAEP 2005 D4e
STA:TX TEKS 8.11BTOP:12-4 Example 4
KEY:theoretical probability | counting principle
14.ANS:
65.3%
PTS:1DIF:L2REF:12-7 Experimental Probability
OBJ:12-7.1 Finding Experimental ProbabilityNAT:NAEP 2005 D4d
STA:TX TEKS 8.11A | TX TEKS 8.11B | TX TEKS 8.15BTOP:12-7 Example 1
KEY:experimental probability
15.ANS:
14.1%
PTS:1DIF:L2REF:12-7 Experimental Probability
OBJ:12-7.1 Finding Experimental ProbabilityNAT:NAEP 2005 D4d
STA:TX TEKS 8.11A | TX TEKS 8.11B | TX TEKS 8.15BTOP:12-7 Example 1
KEY:experimental probability
16.ANS:
PTS:1DIF:L3STA:11TX TAKS 9.8.11A | TX TEKS 8.11A
KEY:probability | independent events
17.ANS:
PTS:1DIF:L3STA:11TX TAKS 9.8.11A | TX TEKS 8.11A
KEY:probability | independent events
18.ANS:
PTS:1DIF:L3STA:11TX TAKS 9.8.11A | TX TEKS 8.11A
KEY:probability | dependent events
19.ANS:
PTS:1DIF:L3STA:11TX TAKS 9.8.11B | TX TEKS 8.11B
KEY:theoretical probability
20.ANS:
There are six possible outcomes when a fair number cube is rolled. Because the number cube is fair, all outcomes are equally likely. There are two numbers greater than 4 on the number cube: 5 and 6. So the probability of rolling one of these numbers is .
PTS:1DIF:BasicREF:Page 802
OBJ:11-2.1 Finding Theoretical ProbabilityNAT:12.4.4.b
TOP:11-2 Theoretical and Experimental ProbabilityKEY:probability | theoretical probability