Sets - practice problems
Number of problems found: 213
- Senior students
There are 7000 students at mountain high school, and 2/7 of these students are seniors. If 2/5 of the seniors favor the school forming a debate team and 3/8 of the remaining students, not seniors, are also forming a debate team, how many students do not f - The following 2
The following data show the number of kilometres joggers ran in a month 4;6;12;12;18;19;25;30;31;40;40;40;40;47;49;60 Find the median of the data. - A math
A math teacher teaches Geometry and Precalculus. 37% of students take both math classes, and only 39% take just Geometry. What is the probability that a student will attend Precalculus given that they attended Geometry? What is the percentage of students - Ordered pairs
Given: Set T = {(1,2), (2,3), (3,4), (4,5), (5,5), (6,7), (6,6), (7,8), (8,9), (9,9), (9, 10), (11,12), (12,13), (13,14), (15,16), (16,16), (17,18), (18,19), (20,21)} Find the probability of having an ordered pair wherein the second element is greater tha - A teacher 2
A teacher checked two sets of test papers. The first set took 3 3/4 hours. The second took 1 1/2 hours, and the third took 2 3/5 hours. How much faster did the teacher check the third set than the first and second? - Conditional probability
Suppose a batch contains ten items, of which four are defective. Two items are drawn at random from the batch one after the other, without replacement. What is the probability that: I) both are defective? Ii) Is the second item defective? - Medical trail
In a medical trial, there were 80 patients. Twenty-four received treatment A, 30 received treatment B, and 20 received both treatment A and treatment B. How many patients did not undergo any treatment? - A bag 4
A bag contains 18 balls that differ only in color, 11 are blue, and 7 are red. If two balls are picked, one after the other without replacement, find the probability that both are (i) Blue (ii) Of the same color (iii) Of different colors - Intersection of Q2 with line
The equation of a curve C is y=2x² - 8x +9, and the equation of a line L is x + y=3. (1) Find the x-coordinates of the points of intersection of L and C. (ii) show that one of these points is also the - Box of donuts
Elizabeth brought a box of donuts to share. There are two dozen (24) donuts in the box, all identical in size, shape, and color. Six are jelly-filled, ten are lemon-filled, and eight are custard-filled. You randomly select one donut, eat it, and s - Three 192 Three separate containers each have one purple marble and two blue marbles. One marble is chosen from each box. Find the probability of selecting a blue marble from each box.
- Rafael
Rafael has three squares. The first square has a side length of 2 cm. The second square has a side length of 4 cm, and its vertex is placed in the center of the first square. The last square has a side length of 6 cm, and its vertex is placed in the cente - A six-sided
A six-sided die is rolled once. What is the probability that the number rolled is an even number greater than two? - The following
The following data represents the number of cases of coffee or filters sold by four sales reps in a recent sales competition. Sales Person; Gourmet; Single Cup; Filters; Total Connor; 142; 325; 30; 497 Paige ; 42; 125; 40; 207 Bryce ; 9; 100; 10; 119 Mall - Prisoners It is estimated that 10% of all federal prisoners have a positive self-image, 40% have a neutral self-image, and the rest have a negative self-image. The estimated probability of rehabilitating a prisoner with a negative self-image is 0.1. With a neutral
- Conditional 73664
I roll a 7-wall dice. What is the conditional probability that three fell if an odd number fell? - Probability 73654
We roll two dice. One is 6-walled, and the other is 8-walled. What is the probability that at least one unit will fall? - Two-thirds 73104 The company has 120 employees, two-thirds of whom are women. Of the women, only a quarter speak both English and German. How many women talk in English and German?
- Students and exam In a certain college, accounting is one of the courses; among the accounting students, 60% are male. Among the male students, 75% passed the exams, while among the females, 50% failed. (a) present this using a probability tree diagram (b) determine the pr
- Second prize
Jamie and Mark each bought a raffle ticket to win a new laptop or a new cell phone, where only 125 tickets were told. The first ticket holder wins the prize of their choice and is removed from the drawing. The holder of the second ticket drawn wins the re
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