HW4.3

0 Question 2 B 0/1 pt '0 3 23 95 6) Details You have 10 quarters, 7 dimes, and 7 pennies in a wallet. Suppose two coins are to be selected at random, WITHOUT REPLACING the first one. Enter your answers as an exact decimal or reduced fraction a) What is the probability of picking a quarter and then a dime? b} What is the probability of picking a penny and then a dime? c) What is the probability of picking a quarter and then another quarter? 0 Question 4 I3 0/1 pt '0 3 8 99 (9 Details Suppose a jar contains 6 red marbles and 33 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red. Question Help: El Video 0 Question 5 [3 0/1 pt '0 3 8 99 (9 Details Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 18 of the 58 boxes on the shelf have the secret decoder ring. The other 40 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that BOTH of them have the secret decoder ring? (Give answer as a decimal correct to at least three decimal places.) Submit Question 0 Question 7 E.' 0/1 pt '0 3 Z 99 (9 Details Suppose a jar contains 15 red marbles and 39 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red. Round your answer to 4 decimal places. Submit Question 0 Question 8 E4 011 pt '0 3 23 99 (9 Details A jar contains 7 red marbles numbered 1 to 7 and 6 blue marbles numbered 1 to 6. A marble is drawn at random from the jar. Find the probability that the marble is blue or odd-numbered. C] Question Help: IQ Written Example Submit Question 0 Question 9 B 0/1 pt '0 3 8 99 (9 Details You draw one card from a standard deck. (a) What is the probability of selecting a king or a queen? D (b) What is the probability of selecting a face card or a 10? D (c) What is the probability of selecting a spade or a heart? D (d) What is the probability of selecting a red card or a black card? D Question Help: El Video 0 Question 10 IE 0/1 pt '0 3 23 99 (9 Details A bag contains 5 white counters, 7 black counters, and 8 green counters. What is the probability of drawing (a) a white counter or a green counter? D (b) a black counter or a green counter? D (c) not a green counter? D Question Help: El Video Submit Question 0 Question 11 B 0/1 pt '0 3 8 99 (9 Details Suppose your top drawer contains different colored socks: 14 are white, 10 are black, 4 are pink, and 12 are blue. All socks in the drawer are loose (unpaired). In the morning, you randomly select two socks, one at a time. Calculate the following probabilities, writing your answer either as a decimal or a fraction. (a) What is the probability that you get a blue pair of socks? D (b) What is the probability that you do not get a blue pair of socks? D (c) What is the probability that you get either a white pair or a blue pair of socks? D (d) What is the probability that you get one black sock and one white sock? D Question Help: El Video 1 El Video 2 Submit Question 0 Question 12 B 0/1 pt '0 3 23 99 0 Details Two group of students (students who have a car versus don't have a car} are given a survey on employment status, the results are summarized below Unemployed Total 3 \" ___ _-E If one student is chosen at random, find the probability that the student owns a car 0R works full-time. (Leave answer as a fraction or round to four decimal places.) Question Help: El Video 0 Question 13 B 0/1 pt '0 3 23 99 CD Details Four hundred consumers were surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table. : 25-34 55 and over ILdehlllI4 [7 31 Disliked Crunchicles 27 6 46 No Preference 90 63 79 Total 1 21 76 One consumer from the survey is selected at random. Use reduced fractions for your responses to each of the following questions. What is the probability that the consumer is 18-24 years of age, given that he/ she dislikes Crunchicles? What is the probability that the selected consumer dislikes Crunchicles? %] What is the probability that the selected consumer is 3555 years old or likes Crunchicles? g] If the selected consumer is 70 years old, what is the probability that he/she likes Crunchicles? 0 Question 14 B 0/1 pt '0 3 8 99 6 Details A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below. better same worse Republican | 38 104 44 Democrat | 12 87 137 none | 21 90 118 Express your answers as a decimal and round to the nearest 0.001 (in other words, type 0.123, not 12.3% or 0.123456). If we randomly select one of the adults who participated in this study, compute: P(worse | affiliated with neither party) = [:] P(affiliated with neither partylworse) = [:] P(affiliated with neither party and worse) = [j 0 Question 15 B 0/1 pt '0 3 23 99 6) Details A survey was given about the goals dating app users have when using an app (source 97). Results consistent with those reported in the survey are given below: Female Total Dating or love _ll- m _-E 61 *non-binary comprises users who did not identify as male of female If one of the app users is chosen at random, find the probability that the user is not female: . Question 16 0/1 pt 9 3 99 0 Details Grades earned in a class are recorded for 2 group of students (students taking only History and the others only taking Biology), the grades in those classes are summarized below. A B C Total History 12 14 16 42 Biology 20 7 17 44 Total 32 21 33 86 If one student was chosen at random, find the probability that the student got a B. Give your answer as a fraction or decimal