Alg II- Probability Unit 10 Practice Test Name ____________________________ Hour____
2. A juice company decides to test six different brands of juice by comparing each brand with each of the other brands. How many different pairs of the six juices will be tested?
a. 30 b. 15 c. 12 d. 7
1. At a school festival, a colored chip is randomly drawn out of a bag and replaced. The table below shows the results of 50 draws. Estimate the probability of choosing a purple chip.
Outcome Blue Red Green Purple Gold
Draws 7 11 6 12 14
a. 12% c. 24%
b. 18% d. 88%
3. A bag contains orange, white, and purple marbles. If you randomly choose a marble from the bag, there is a 17% chance of drawing an orange marble and a 50% chance of drawing a white marble. What is the
probability of choosing a purple marble? Express your answer as a percent.
a. 67% c. 33%
b. d. 17%
4. A circle is inscribed in a square with a side length of 10. What is the probability that a randomly chosen point lies in the square, but not in the circle? Express your answer as a percent rounded to the nearest tenth.
a. 21.5% c. 27.3%
b. 78.5% d. –214.2%
5. A grab bag contains 4 football cards and 6 basketball cards. An experiment consists of taking one card out of the bag, replacing it, and then selecting another card. Determine whether the events are independent. What is the probability of selecting a football card and then a basketball card? Express your answer as a decimal.
a. not independent; 0.16 c. independent; 0.27
b. not independent; 0.36 d. independent; 0.24
6. If Event A is spinning a B on the first spinner and Event B is spinning a 3 on the second spinner, determine P(A and B). Express your answer as a fraction in simplest form.
a. c.
b. d.
7. A meteorologist reported an 82% chance the weather would be sunny and a 74% chance it would be sunny and that the temperature would get over 85 °F. What is the conditional probability the temperature will be more than 85°F, given that it is a sunny day?
a. 60.7% c. 74.0%
b. 90.2% d. 31.7%
8. Kelly has 8 markers in a backpack. One of them is red and one is orange. What is the probability Kelly will reach into the backpack without looking and grab the red marker and then reach in a second time and grab the orange marker if the first marker is not replaced? Express your answers as fractions in simplest form.
a. c.
b.
d.
9. Darren randomly chooses a card from a standard deck of 52 playing cards. What is the probability that Darren chooses a club or a queen?
a.
b.
c.
d.
10. A movie company shows one of its movies to a group of viewers before the movie is released.
The results of one showing are in the table.
What is the approximate probability out of all the people that liked the movie that a person is in the 18-34 age group?
a. 0.24 c. 0.46
b. 0.30 d. 0.80
11. Joyce asked 50 randomly-selected students at her school whether they have one or more brothers or sisters. The table shows the results of Joyce’s poll. Make a table of the joint and marginal relative frequencies. Express percentages in decimal form.
a.
b.
c.
d.
SHORT ANSWER
16. There are 12 boys and 16 girls in Ms. Smith’s math class. Find the number of ways Ms. Smith can select a group of 4 students that are all girls.
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12. The table shows the distribution of the labor force in the United States in the year 2000. Suppose that a worker is selected at random. Find the probability that a male works in the Services field. Express your answer as a decimal rounded to the nearest hundredth.
Agriculture Industry Services
Male 3,132,000 25,056,000 50,112,000
Female 667,000 8,004,000 57,362,000
a. 0.35 c. 0.54
b. 0.47 d. 0.64
13. Jillene wrapped 5 gifts for her 5 cousins. If she gives them out randomly, what is the probability that every cousin gets the right present?
a. c.
b. d.
14. A spinner is divided into 10 equal parts and numbered from 1 through 10. What is the probability of spinning a number less than 6 or greater than 6 in a single spin?
a. b. c. d.
15. There are 7 singers competing at a talent show. In how many different ways can the singers appear?
a. 49 ways c. 720 ways
b. 42 ways d. 5,040 ways
17. Find the indicated probability.
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19. Charlotte is playing a dice game with two standard dice. Charlotte will win if she rolls the dice to sum to 6, but if she rolls a four, she gets an extra turn. What is the probability that Charlotte rolls either to win or to get an extra turn, given that the events are overlapping? Express your answer as a fraction in simplest form.
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20. The name of a state is shown: M I S S I S S I P P I. Sam will pick one letter from the name of this state.
What is the probability that he will pick a letter that can also be found in the name “Sam”?
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21. If a mom is choosing shirts for her baby girl to wear the next week to day care and the baby has 16 different shirts to wear and 5 days that she’s going to day care, how many different ways can the mom choose a group of 5 shirts?
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18. A visitor to the county fair can win a prize by throwing a dart into the shaded regions represented by a 2 inch-by-5 inch blue rectangle and a 6 inch-by-2 inch red rectangle on a 10 inch-by-10 inch board as shown below. What is the probability that the contestant randomly hits a blue or red shaded region on the board?
22. In a survey about a change in tutoring times, 300 people at Red Mountain were asked if they would rather have morning or lunch tutoring. Out of the 300 people surveyed, 180 are male and 200 prefer lunch tutoring.
There are 85 males that prefer the morning tutoring.
a. What is the probability that a randomly selected respondent to the survey is a female or prefers lunch tutoring? Express your answer as a percent.
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b. What is the probability that a student preferred lunch tutoring given he is a male? Express your answer as a decimal rounded to the thousandth.
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c. Find the probability that a female prefers morning tutoring. Express your answer as a decimal rounded to the thousandth.
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