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Unit 3 Classwork : Chapter 11: Probability and Chapter 12: Statistics Name___________________________________ PRINT and bring to class SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Give the probability, as a rational number, that the spinner shown would land on the indicated color.
- black The probability of an event happening is the ratio (think regular fraction) of the number of ways the chosen event CAN happen (number of favorable outcomes, numerator) over the total number of ways some event happens (total possible outcomes, denominator). Probablilty may be shown as a rational fraction, a decimal fraction, or a percent fraction. First: what is the chosen event (spinner stops on black). How many outcomes result in stops on black (the number of black sectors)? 1 What are the total number of possible outcome (the total number of scetors of any shade on the dial)? 4 P(E) = 1 / 4, or 1 4 What is the probability of gray? What is the probability of white?
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
- grey A) 1 2 B) 3 C) 1 3 D) 3 4
- white A) 2 3 B) 2 5 C) 1 5 D) 1 6
- black A) 1 6 B) 1 3 C) 1 2 D) 2 3 Find the probability.
- A bag contains 6 red marbles, 3 blue marbles, and 1 green marble. What is the probability that a randomly selected marble is not blue? A) 3 10 B) 7 C) 7 10 D) 10 7
- A bag contains 17 balls numbered 1 through 17. What is the probability that a randomly selected ball has an even number? A) 8 B) 2 17 C) 8 17 D) 17 8
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
What are the odds against spinning a D on this spinner? A) 6:1 B) 7:1 C) 8:1 D) 1:
What are the odds in favor of drawing a 3 from these cards? A) 1:5 B) 5:1 C) 1:4 D) 4:
What are the odds against drawing a number greater than 2 from these cards? A) 2:5 B) 2:3 C) 5:2 D) 3: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
- The table shows the number of college students who prefer a given pizza topping. toppings freshman sophomore junior senior cheese 13 13 18 26 meat 22 26 13 13 veggie 13 13 22 26 Find the empirical probability (based on experimental data [the results of an experiment]) that a randomly selected junior prefers meat toppings (to 3 decimal places). What is the goal: that a randomly selected junior perfers meat toppings. What do we know about the student: the student is a junior. Based on what we know, do we include freshmen, sophomores or seniors? NO. So what is the total number of juniors? 53 Of those 53 juniors, how many prefer meat toppings? 13 Find the P that one of those 13 was selected from the total of 53: 13/53 = 0.???
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
- The table shows the number of college students who prefer a given pizza topping. toppings freshman sophomore junior senior cheese 10 15 24 25 meat 25 25 15 10 veggie 15 10 25 25 Find the empirical probability that a randomly selected freshman prefers cheese toppings. A) 0.045 B) 0.500 C) 0.135 D) 0.
- The distribution of B.A. degrees conferred by a local college is listed below, by major. Major Frequency English 2073 Mathematics 2164 Chemistry 318 Physics 856 Liberal Arts 1358 Business 1676 Engineering 868 9313 What is the probability that a randomly selected degree is in Engineering? A) 0.0932 B) 868 C) 0.1028 D) 0.
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem.
- Mr. Larsen's third grade class has 22 students, 12 girls and 10 boys. Two students must be selected at random to be in the spring play. What is the probability (as a rational fraction) that one boy and one girl will be chosen? Order is not important. What is the goal: Select 1 boy, then 1 girl OR 1 girl then 1 boy (order is NOT important). So, we have 2 options, boy first, girl second, OR girl first, boy second. Option 1: How many ways to select a boy: 10. Whan selecting the boy first, how many total students: 22. Then, when the girl is selcted (still 12) how many total students: (21, because one was taken previously) P(boy/girl): (10/22)(12/21) = 20/ Option 2: girl first, then boy: P(girl/boy): (12/22)(10/21) = 20/ The probability is the total of the two options (b/c can be done either way), so add or multiply by 2: (20/77) * 2 = 40/ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
- Mr. Larsen's third grade class has 22 students, 12 girls and 10 boys. Two students must be selected at random to be in the fall play. What is the probability that no boys will be chosen? Order is not important. A) 5 6 B) 1 6 C) 2 7 D) 6 11 Find the probability. Remember: OR means either, so add to find the number of ways either event courl happen. Divide the sum by the total ways something happens.
- A fair die is rolled. What is the probability of rolling a 3 or a 6? A) 2 B) 1 6 C) 1 36 D) 1 3 Find the probability. You will need your table of rolls and sums.
- When two balanced dice are rolled, there are 36 possible outcomes. What is the probability that the sum of the numbers on the dice is 6 or 11? A) 1 66 B) 17 36 C) 7 6 D) 7 36
Find the indicated probability.
- The age distribution of students at a community college is given below. Age (years)Number of students (f) Under 21 406 21 - 25 415 26 - 30 217 31 - 35 59 Over 35 25 1122 A student from the community college is selected at random. Find the probability that the student is between 26 and 35 inclusive. Round approximations to three decimal places. A) 276 B) 0.246 C) 0.193 D) 0.
- A card is drawn at random from a standard 52 - card deck. Find the probability that the card is not a queen. A) 3 4 B) 12 13 C) 1 13 D) 1 4
- A card is drawn at random from a standard 52 - card deck. Find the probability that the card is an ace or not a club. A) 10 13 B) 35 52 C) 43 52 D) 9 13
- A card is drawn at random from a standard 52 - card deck. Find the probability that the card is neither an ace nor a heart. A) 35 52 B) 9 13 C) 4 13 D) 21 26
- A bag contains 5 red marbles, 4 blue marbles, and 1 green marble. If a marble is selected at random, what is the probability that it is not blue? A) 5 3 B) 6 C) 3 5 D) 2 5 Determine whether the events are independent.
- A bag contains 8 red and 8 green marbles. A marble is drawn, replaced in the bag, then a second marble is drawn. Are the events "first marble is red" and "second marble is green" independent events? A) No B) Yes
- Two cards are selected at random from a standard deck of 52 cards without replacement. Are the events "ace on the first draw" and "ace on the second draw" independent? A) Yes B) No
- The table below shows the soft drinks preferences of people in three age groups. cola root beer lemon-lime under 21 years of age 40 25 20 between 21 and 40 35 20 30 over 40 years of age 20 30 35 If one of the 255 subjects is randomly selected, find the probability that the person is over 40 years of age given that they drink root beer. A) 6 17 B) 2 5 C) 5 17 D) None of the above is correct.
- The table below shows the soft drinks preferences of people in three age groups. cola root beer lemon-lime under 21 years of age 40 25 20 between 21 and 40 35 20 30 over 40 years of age 20 30 35 If one of the 255 subjects is randomly selected, find the probability that the person drinks root beer given that they are over 40. A) 2 17 B) 2 5 C) 6 17 D) None of the above is correct. Find the probability. {Remember: The number of options is the base and the number of items is the exponent}
- Find the probability of correctly answering the first 3 questions on a multiple choice test if random guesses are made and each question has 5 possible answers. A) 5 3 B) 3 5 C) 1 125 D) 1 243 Find the probability.
- In one town, 73 % of adults have health insurance. What is the probability that 7 adults selected at random from the town all have health insurance? A) 0.73 B) 5.11 C) 0.096 D) 0. Use the general multiplication rule to find the indicated probability. {Find the probability of each event, then multiply the 2 probabilities.}
- You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that both cards are black. A) 13 51 B) 25 51 C) 25 102 D) 1 2652
- You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that the first card is a king and the second card is a queen. A) 13 102 B) 4 663 C) 2 13 D) 1 663
- Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. Find the probability that both marbles are white. A) 9 56 B) 3 32 C) 3 8 D) 3 28 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find the conditional probability. {UNDERSTAND the condition!}
- If a single fair die is rolled, find the probability that the number rolled is 5 given that it is odd. Condition: The number rolled is odd. How many odd numbers on 1 die? { 3 } Of those odd numbers, how many are a 5? { 1 } Divide and give the Probability as a fraction in lowest terms. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
- If two fair dice are rolled, find the probability that the sum is 6 given that the roll is a "double". A) 1 3 B) 1 5 C) 1 6 D) 1 4
- Suppose one card is selected at random from an ordinary deck of 52 playing cards. Let A = event a queen is selected B = event a diamond is selected. Determine P(B|A). {Given that A happened, what is the probability that B happens?} A) 1 2 B) 1 52 C) 1 13 D) 1 4
- If two cards are drawn at random without replacement from a standard deck, find the probability that the second card is a face card, given that the first card was a queen. A) 4 17 B) 3 13 C) 5 17 D) 11 51
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Construct the specified histogram. A graph of connected bars.
- The frequency table below shows the number of days off in a given year for 30 police detectives. Days off Frequency 0 - 1 10 2 - 3 1 4 - 5 7 6 - 7 7 8 - 9 1 10 - 11 4 Construct a histogram.
- In a survey, 20 voters were asked their age. The results are summarized in the frequency table below. Construct a histogram. Age of voters Number of voters 20 - 29 5 30 - 39 5 40 - 49 6 50 - 59 0 60 - 69 4 Find the mean of the set of data. Aritmetic average = sum of scores / number of scores
- 11 , 13 , 7 , 12 , 2 5 scores; sum = 11 + 13 + 7 + 12 + 2 = 45 mean = 45/5 = 9 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
- 2 , 19 , 14 , 20 , 19 , 19 , 14 , 5 A) 16 B) 14 C) 7 D) 12 Find the median. The number that divides the scores into 2 sets with the same number of elements. First, put the scores in either increasing or decreasing order. If an even number of scores, add the 2 middle scores and divide by 2. If and odd number of scores, use the score in the middle.
- 4 , 4 , 18 , 27 , 33 , 39 , 49 A) 27 B) 33 C) 18 D) 25
- 15 , 30 , 39 , 52 , 61 , 63 , 89 A) 50 B) 39 C) 61 D) 52 Find the mode or modes. The mode is the score or scores that occur most often.; the most frequent score, if one exists.
- 5, 9, 49 , 3, 2, 8, 77 , 1, 4, 16 A) 8 B) No mode C) 16.8 D) 9
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Value Frequency 13 2 21 20 24 17 27 15 33 9 A) 1.9 B) 24.7 C) 26.3 D) 25. Find the median for the given frequency distribution.
Value Frequency 20 4 30 6 40 5 50 3 80 1 A) 44 B) 35 C) 40 D) 30
Value Frequency 0 8 1 12 2 15 3 20 4 20 5 14 A) 2.5 B) 4 C) 3 D) 3. Find the range for the set of data given. {Range of data is maxX – minX}
Value Frequency 14 3 21 3 26 3 30 6 35 1 A) 20 B) 21 C) 22 D) 49
Value Frequency 12 3 18 6 23 3 30 5 32 2 A) 19 B) 21 C) 44 D) 20
