2/3/25, 8:47 AM Alef Frontend View hints View feedback Play All Question 1 Students were given two tests. 70% of students passed the first test and 35% of students passed both tests. Given that a student passed the first test, what is the probability he or she passed the second test? Select your answer from the drop-down menu. The probability that a student who passed the first test also passed the second test is 50% . Question 2 A bag contains 11 solid and striped marbles: 2 solid green, 3 solid yellow, 3 striped green, 2 striped yellow, and 1 striped red. You know that a randomly chosen marble is striped. What is the probability that it is green? Enter your answer in the space provided. The probability that a randomly chosen striped marble is green is 50 %. Question 3 https://moe.alefed.com/teacher/?1738556361105#/activityConfig/preview/contentId/239d9b27-f73b-4e12-a5c7-fa79d3345d7a/classId/2fe777da-4ffc-4… 1/11 2/3/25, 8:47 AM Alef Frontend Zayed and Eissa went to a classic car show. Zayed made a drawing of the cars they saw. His favorite car was a red convertible. If Zayed and Eissa learn that the winning car was a convertible, what is the probability that it was red? Select your answer from the dropdown menu. The probability of a convertible being red is 0.5 . Question 4 https://moe.alefed.com/teacher/?1738556361105#/activityConfig/preview/contentId/239d9b27-f73b-4e12-a5c7-fa79d3345d7a/classId/2fe777da-4ffc-4… 2/11 2/3/25, 8:47 AM Alef Frontend A marble is randomly selected from the bowl containing 15 marbles. The marble selected was not spotted. What is the probability that the marble is green? Round your answer to three decimal places. Drag and drop your answer to correctly complete the sentence. Given that the marble is not spotted, the probability the marble is green is 0.125 0.333 . 0.200 0.250 0.375 Question 5 Select the correct answer. Suleiman has 16 pairs of socks, which include 4 pairs of blue striped socks, 2 pairs of blue socks, 3 pairs of yellow striped socks, 3 pairs of yellow socks, 3 pairs of red striped socks, and 1 pair of red socks. Suleiman randomly selects a pair of socks from his wardrobe. What is the probability that Suleiman selects a pair of red socks, given the pair of socks is striped? 75% 40% 25% https://moe.alefed.com/teacher/?1738556361105#/activityConfig/preview/contentId/239d9b27-f73b-4e12-a5c7-fa79d3345d7a/classId/2fe777da-4ffc-4… 3/11 2/3/25, 8:47 AM Alef Frontend 30% Question 6 In a class of 20 students, 8 students wear glasses, of which 2 have blue eyes, 5 have brown eyes, and 1 has green eyes. Of the 12 students who do not wear glasses, 3 have blue eyes, 7 have brown eyes, and 2 have green eyes. If we know that a randomly selected student wears glasses, what is the probability that the student's eye color is blue? Round your answer to the nearest thousandth. Select your answer from the drop-down menu. Given that a student wears glasses, the probability this student has blue eyes is 0.250 . Question 7 A family of 12 goes to a restaurant and records their drink orders. 10 people ordered water and 6 people ordered both water and lemonade. Given that a member of the family ordered water, what is the chance that they ordered lemonade? Enter your answer in the space provided. Given that a member of the family ordered water, they have a 60 % chance of also ordering lemonade. https://moe.alefed.com/teacher/?1738556361105#/activityConfig/preview/contentId/239d9b27-f73b-4e12-a5c7-fa79d3345d7a/classId/2fe777da-4ffc-4… 4/11 2/3/25, 8:47 AM Alef Frontend Question 8 Select the correct answer. A bowl contains a mix of chocolate and sour candies. The bowl contains 5 red chocolate candies, 3 green chocolate candies, and 7 blue chocolate candies. The bowl also contains 8 red sour candies, 5 green sour candies, and 2 blue sour candies. Given that a randomly selected candy is green, what is the probability that it is a sour candy? Round your answer to 3 decimal places. 0.375 0.625 0.333 0.750 Question 9 Select the correct answer. Yousef is randomly selecting a pair of socks from his wardrobe. There are 5 pairs of solid black socks, 2 pairs of striped black socks, 3 pairs of solid white socks, 5 pairs of striped white socks, 2 pairs of solid gray socks, and 1 pair of striped gray socks. Yousef has randomly selected a pair of striped socks. What is the probability that the pair of socks is white? Round your answer to three decimal places. https://moe.alefed.com/teacher/?1738556361105#/activityConfig/preview/contentId/239d9b27-f73b-4e12-a5c7-fa79d3345d7a/classId/2fe777da-4ffc-4… 5/11 2/3/25, 8:47 AM Alef Frontend 0.125 0.500 0.625 0.278 Question 10 A survey of a local school found that 44% of all students play soccer and 20% of all students play both soccer and basketball. Given that a randomly selected student plays soccer, what is the probability they also play basketball? Round your answer to a whole percent. 45% 36% 50% 64% Question 11 https://moe.alefed.com/teacher/?1738556361105#/activityConfig/preview/contentId/239d9b27-f73b-4e12-a5c7-fa79d3345d7a/classId/2fe777da-4ffc-4… 6/11 2/3/25, 8:47 AM Alef Frontend Select the correct answer. In a classroom, there are 10 red pens, 7 blue pens, 5 green pens, 3 red pencils, 6 blue pencils, and 4 green pencils. A pen is randomly selected from the collection. What is the probability that the selected pen is blue? Round your answer to three decimal places. 0.318 0.200 0.629 0.278 Question 12 A marble is randomly selected from the 13 marbles in the bowl. Given that the marble selected is not spotted, what is the probability that the marble is blue? Select your answer from the drop-down menu. Given the selected marble is not spotted, there is a 50% chance that the marble is blue. https://moe.alefed.com/teacher/?1738556361105#/activityConfig/preview/contentId/239d9b27-f73b-4e12-a5c7-fa79d3345d7a/classId/2fe777da-4ffc-4… 7/11 2/3/25, 8:47 AM Alef Frontend Question 13 Select your answer from the drop-down menu. In a group of 40 employees, 18 work in marketing, of which 5 have a master's degree, 8 have a bachelor's degree, and 5 have a diploma. The remaining 22 employees work in sales, with 7 having a master's degree, 10 having a bachelor's degree, and 5 having a diploma. If we know that a randomly selected employee works in marketing, what is the probability that the employee has a master's degree? Round your answer to the nearest thousandth. Given that the randomly selected employee works in marketing, the probability that the employee has a master's degree is 0.278 . Question 14 Ali's wardrobe includes 4 blue pairs of pants and 2 black pairs of pants, as well as 5 blue shirts and 3 black shirts. Ali randomly selects a piece of clothing from his wardrobe. Given that Ali selects a blue piece of clothing, what is the probability it is a shirt? 5 18 4 8 https://moe.alefed.com/teacher/?1738556361105#/activityConfig/preview/contentId/239d9b27-f73b-4e12-a5c7-fa79d3345d7a/classId/2fe777da-4ffc-4… 8/11 2/3/25, 8:47 AM Alef Frontend 5 8 5 9 Question 15 A bag contains blue strips of paper labeled 1-7 and green strips of paper labeled 8-14. Team members will randomly choose a strip to determine their position at soccer practice. Odd strips will play defense and even strips will play offense. What is the probability that the first player will play offense, given that his strip of paper was blue? Select your answers from the drop-down menus. P ( blue and even ) = 3 14 P ( blue ) = 7 14 P ( blue| even ) = 3 7 https://moe.alefed.com/teacher/?1738556361105#/activityConfig/preview/contentId/239d9b27-f73b-4e12-a5c7-fa79d3345d7a/classId/2fe777da-4ffc-4… 9/11 2/3/25, 8:47 AM Alef Frontend Question 16 A marble is randomly selected from the 11 marbles in the bowl. Given that the marble selected is dotted, what is the probability that the marble is blue? Drag and drop your answer to correctly complete the sentence. Given a randomly selected marble is dotted, there is a 40% chance the marble is blue. 60% 36% 45% Question 17 Select the correct option. A survey at a coffee shop found that 42% of customers order espresso drinks and 24% of customers order both espresso drinks and pastries. Given that a randomly selected customer orders an espresso drink, what is the probability they also order a pastry? Round your answer to a whole percent. 33% 18% https://moe.alefed.com/teacher/?1738556361105#/activityConfig/preview/contentId/239d9b27-f73b-4e12-a5c7-fa79d3345d7a/classId/2fe777da-4ffc-… 10/11 2/3/25, 8:47 AM Alef Frontend 57% 66% Question 18 A single number cube is rolled. Given that the number cube landed on an odd number, what is the probability it landed on a 5? Round your answer to a whole number. Drag and drop your answer to correctly complete the sentence. Given that the number cube landed on an odd number, there is a 33% chance that the number cube landed on a 5. 50% 20% 67% https://moe.alefed.com/teacher/?1738556361105#/activityConfig/preview/contentId/239d9b27-f73b-4e12-a5c7-fa79d3345d7a/classId/2fe777da-4ffc-… 11/11
