Math 100 Exam Review

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Feb 20, 2024

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11/29/22, 10:16 AM Lumen OHM Exam 3 Review Assignment - Modules 8-11 Daniel Marlin Chapter 8 | S @ Question 1 @ o/gpts O3 299 Given that P(E) = 0.9, what must be true about the event E? Select the best answer. ){:rhe event E is probable but not certain. The event E is impossible. This is not a valid probability. The event E is possible but not likely. The event E is certain. Question Help: [ Read Calculator @ Question 2 & o/8pts O3 299 https://ohm.lumenlearning.com/assess2/?cid=65679&aid=4834481#/print 1/25

11/29/22, 10:16 AM Lumen OHM ‘Given that P(E) = 0.1, what must be true about the event E? Select the best answer. This is not a valid probability. >(The event E is possible but not likely. The event E is probable but not certain. The event E is certain. The event E is impossible. Question Help: B Read Calculator @ Question 3 Zo/8pts O3 299 Use the spinner below. Write your answer as a reduced fraction. P(odd number) = N é/@ - j Question Help: [®]Video Calculator @ Question 4 o8 pts O3 299 https://ohm.lumenlearning.com/assess2/?cid=65679&aid=4834481#/print 2/25

11/29/22, 10:16 AM Lumen OHM ‘A die is rolled. Find the probability of the given event. Write your answers as whole numbers or reduced fractions. (@) The number showing is a 5 P(5) = "“"‘; (b) The number showing is an even number P(even) = — | (c) The number showing is greater than 3 P(greater than 3) = Question Help: (] Video Calculator @ Question 5 Mo/ pts O3 299 A bag contains 2 gold marbles, 7 silver marbles, and 23 black marbles. You randomly select one marble from the bag. What is the probability that you select a gold marble? Write your answer as a reduced fraction. P(gold marble)=t ~=/] 1 o Question Help: []Video Calculator @ Question 6 Mo/8pts O3 299 https://ohm.lumenlearning.com/assess2/?cid=65679&aid=4834481#/print 3/25

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11/29/22, 10:16 AM Lumen OHM ‘Giving a test to a group of students, the grades and gender are summarized below A B C | Total Male 2|20 | 16 38 Female | 12 4 6 22 Total | 14 | 24 | 22 60 If one student is chosen at random, find the probability that the student did NOT get an "B". Give your answer as a reduced fraction. P(student did NOT get an "B") = L___JE m Question Help: [®]Video Calculator @ Question?7 @ ogpts O3 299 The letters in the word ARIZONA are scrambled. Write your answers in decimal form. Round to the nearest thousandth as needed. What is the probability that the first letter is A? ! 1& b What is the probability that the first letter is Z? \ % What is the probability that the first letter is avowel? _ &7 | What is the probability that the first letter is H? I, Question Help: (] Video Calculator @ Question 8 @o/8pts D3 299 https://ohm.lumenleaming.com/assess2/?cid=65679&aid=4834481#/print 4/25

11/29/22, 10:16 AM Lumen OHM *An American roulette wheel has 38 slots: two slots are numbered 0 and 00, and the remaining slots are numbered from 1 to 36. Assume 0 and 00 are even. What are the odds for the ball landing in an even-numbered slot? 10 to s What are the odds aganst the ball landing in an even-numbered slot? 4 tw_ |0 Simplify your answers. Question Help: (2]Video Calculator @ Question 9 M o/8pts O3 299 27 Suppose the probability of an event is 37 What are the odds for the event happening? 27 10 U What are the odds against the event happening? 4 to 727 Question Help: []Video Calculator @ Question 10 Morgpts O3 299 A bag contains 2 gold marbles, 6 silver marbles, and 26 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win $3. If it is silver, you win $2. If it is black, you lose $1. What is your expected value if you play this game? § = Calculator @ Question 11 Mo/8pts O3 299 https://ohm.lumenleaming.com/assess2/?cid=65679&aid=4834481#/print 5/25

11/29/22, 10:16 AM Lumen OHM “The PTO is selling raffle tickets to raise money for classroom supplies. A raffle ticket costs $3. There is 1 winning ticket out of the 240 tickets sold. The winner gets a prize worth $88. Round your answers to the nearest cent. What is the expected value (to you) of one raffle ticket?$ — 7, (o} Calculate the expected value (to you) if you purchase 10 raffle tickets. $ — 7 ,Z. R What is the expected value (to the PTO) of one raffle ticket? $ 7 , 6% If the PTO sells all 240 raffle tickets, how much money can they expect to raise for the classroom supplies?$ (L2477~ Question Help: [ Video Calculator Chapter 9 @ Question 12 @ o/gpts O3 399 https://ohm.lumenlearning.com/assess2/?cid=65679&aid=4834481#/print 6/25

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11/29/22, 10:16 AM Lumen OHM “Sara draws the 6 of hearts from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card. a. Determine the probability that the second card is another 6. P(6 | 6of hearts)=| ——= | b. Determine the probability that the second card is another heart. P(heart|6 of hearts) = /i;l c. Determine the probability that the second card is a club. P(clubl6 of hearts) = Engj d. Determine the probability that the second card is a 3. P(3 | 6 of hearts) = I/‘;j Write your answers as reduced fractions. Calculator @ Question 13 & o/gpts O3 399 https://ohm.lumenlearning.com/assess2/?cid=65679&aid=4834481#/print 7125

11/29/22, 10:16 AM Lumen OHM Contingency Tables and Conditional Probability: Homework and Passing a Course A teacher categorized students by whether they regularly completed their homework (or not) and whether they passed the course (or not). The data are in the table below. Completed Did not Complete Total Homework Homework Passed the Course 27 5 32 Did not Pass the 4 17 21 Course Total 31 22 53 A student from the class is randomly selected. Determine the following probabilites. Enter your results as percents rounded to two decimal places. What is the probability a student passed the course given that they completed their homework? L) What is the probability a student passed the course given that they didn't complete their homework? 21T What is the probability a student completed their homework given that they passed the course? gt 26 What is the probability a student didn't complete their homework given that they didn't pass the course? 4098 % Question Help: (3)Video [B_Written Example Calculator @ Question 14 Mo/8pts O3 299 https://ohm.lumenleamning.com/assess2/?cid=65679&aid=483448 1#/print 8/25

11/29/22, 10:16 AM Lumen OHM - Below is a list of all possible outcomes in the experiment of rolling two die. 1,111,213/ 1,4]1.5]16 211221231241 25] 26 3,113.2]3,3]34]35]3.6 41142 434414546 51152 531541 3.3 | 3.0 6,162 6.3 | 6.4 6.5] 6.6 Determine the following probabilities. Write your answers as reduced fractions. P(sum is odd) = ? p 2 P(sumis 5) = t/q ] P(sum is 7 and one of the die isa1)=1 52[48 } P(sum is 7 or one of the dieis 1) = §]J2 - Calculator @ Question 15 M o/8pts O3 299 Jenelle draws one from a standard deck of 52 cards. Determine the probability of drawing either a two or a ten? Write your answer as a reduced fraction. Answer=l ZH“Z % Determine the probability of drawing either a two or a heart? Write your answer as a reduced fraction. Answer = Iy et Calculator @ Question 16 @ o/8pts O3 299 https://ohm.lumenleaming.com/assess2/?cid=656798&aid=4834481#/print 9/25

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11/29/22, 10:16 AM Lumen OHM + Suppose a jar contains 7 red marbles and 14 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red. Write your answer as a reduced fraction. Question Help: (] Video Calculator @ Question 17 @ o/8pts O3 299 Lacy draws a spade from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card and gets a heart. Are these events independent? Input Yes o@ Determine the probability of drawing a spade and then a heart without replacement. Write your answer in decimal form, rounded to four decimal places as needed. Answer = ©.6%7) Linda draws a spade from a standard deck of 52 cards. She returns the spade to the deck, then draws a second card. Her second card is a heart. Are these events independent? Input Yes or No: \I[% Determine the probability of drawing a spade and then a heart with replacement. Write your answer in decimal form, rounded to four decimal places as needed. Answer= L 7C Calculator @ Question 18 o8 pts O3 299 https://ohm.lumenlearning.com/assess2/?cid=65679&aid=4834481#/print 10/25

11/29/22, 10:16 AM . A math class consists of 21 female students and 16 male students. Two students are selected at random to participate in a probability experiment. Compute the following probabilities. Write your answers in decimal form. Round to the nearest thousandth as needed. a. A male is selected, then a female. b. A female is selected, then a male. c. Two males are selected. |, | & d. Two females are selected. 7 (< e. No males are selected. Vz \S Question Help: [®]Video Calculator @ Question 19 Zo/gpts O3 299 Giving a test to a group of students, the grades and gender are summarized below A B C | Total Male 4|18 8 30 Female | 17 | 15 3 35 Total | 21 | 33 | 11 65 If one student is chosen at random, Find the probability that the student was female AND got a "C". Write your answer as a reduced fraction. P(female and "C")= “Jes Question Help: (®]Video Calculator © Question 20 https:/ohm.lumenleaming.com/assess2/?cid=65679&aid=4834481#/print & o/8pts O3 299 11/25

11/29/22, 10:16 AM Lumen OHM - Giving a test to a group of students, the grades and gender are summarized below A B C | Total Male | 18 | 11 | 10 39 Female 5114 1| 20 39 Total | 23 | 25 | 30 78 If one student is chosen at random, find the probability that the student was female OR got an "C". Write your answer as a reduced fraction. P(female or "C") = M( ;yi 6 Question Help: (®]Video Calculator @ Question 21 & 0/8 pts O3 2 99 A jar contains 12 red marbles numbered 1 to 12 and 8 blue marbles numbered 1 to 8. A marble is drawn at random from the jar. Find the probability of the given event. Write your answers as reduced fractions. (a) The marble is red Your answer is : Z/g (b) The marble is odd-numbered S { Your answer is : | / /2 (c) The marble is red or odd-numbered Your answer is : f[i | L - (d) The marble is blue and even-numbered Your answer is : L \/g Question Help: [®]Video Calculator Chapter 10 e MOER One Variable Stats App https://ohm.lumenleamning.com/assess2/?cid=65679&aid=4834481#/print 12/25

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