Sets - practice problems - page 5 of 17
Number of problems found: 329
- Medical trail
In a medical trial, there were 80 patients. 44 received treatment A, 50 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 colour: 11 are blue and 7 are red. Two balls are picked one after the other without replacement. Find the probability that both are: (i) blue, (ii) the same colour, (iii) different colours. - 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 select an - 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 - Dice conditional probability
I roll a 7-wall dice. What is the conditional probability that three fell if an odd number fell? - Dice unit probability
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? - Woman language employees 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 female students, 50% failed. (a) Present this information using a probability tree diagram. - Second prize
Jamie and Mark each bought a raffle ticket for a draw of 125 tickets total. The first ticket drawn wins the prize of the winner's choice and is removed from the draw. The holder of the second ticket drawn wins the remaining prize. Find the probability tha - Family children probability
We randomly choose a family with three children. We distinguish between gender and age. Determine the probability that: a) the youngest girl will be among the children b) all children will be of the same sex - Probability - on the roll Find the probability that one will fall at least once in three rolls.
- Duck weight range
There are a total of 38 ducks in the freezer. Of these, 24 weigh more than 1.2, and 22 ducks weigh less than 1.5. How many ducks weigh more than 1.2 and less than 1.5 kg? - Club encyclopedia atlas Children from the Mayan science club have encyclopedias and atlases at home. Everyone has at least one of them. The encyclopedia has 10 children, and the atlas has 19 children. Eight children have encyclopedias and atlases. How many children do not have a
- Ways
There are five roads from village A to village B, two roads from village B to village C, and only one road directly from village A to village C. In how many different ways can you travel: A) from village A to village C via village B? B) from village A to - Social beneficiaries
In a certain community, 52% are SAP beneficiaries, 15% are members of 4Ps, and 8% are both SAP and 4 Ps. If a citizen from the community is an SAP, what is the probability that he is also 4Ps? If that person is not a 4Ps, what is the probability that he i
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