A survey among students about the type of soda they liked showed the followingresults: 44% liked Solo. 50% liked Coca Cola. 78% liked Pepsi. 18% liked both Coca Colaand Solo. 34% liked both Solo and Pepsi. 40% liked both Pepsi and Coca Cola. 12% liked everyonethree types of effervescence.We pick a random studenta) What is the probability that this student likes at least one of the three types of soda?b) What is the probability that the student likes both Solo and Pepsi but not Coca Cola?c) What is the probability that the student only likes Coca Cola but none of the othersthe types of effervescence?2) In a box there are 50% red, 30% green and 20% blue balls. Some of the balls have whitedots. This applies to 4% of the reds, 5% of the green ones and 1% of the blue ones. A ball is drawnrandom from the box.a) What is the probability of drawing a ball with white dots?b) A ball with white dots is drawn. What is the probability that the ball is red?c) A ball with white dots is drawn. What is the probability that the ball is blue?

Answered: Image /qna-images/answer/4f8ec48a-ab6a-4cdd-a458-2053b8f8c902.jpg

Answered: A survey among students about the type…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Two classes of elementary school students were asked what activity they want to do during recess. Each student selects one recess option. The table summarizes the recess preference of each student in the class. Kickball/Class tag playground kickball class A 2 7 class B 10 1. What is the probability that a student selected at random prefers to play tag at recess? 2. What is the probability that a student selected at random prefers to play tag or kickball at recess? 3. What is the probability that a student in class A selected at random prefers to play kickball at recess? 4. What is the probability that a student selected at random is in class B and prefers to play tag at recess?
A hotel asked its customers to rate their stays as Excellent, Good, Fair, or Poor. The accompanying table shows the frequency of each rating as well as the gender of the customer. ONLY DO PARTS D AND E d. Determine the probability that a randomly selected customer was a man who rated his stay as Good. e. Determine the probability that a randomly selected customer was either a woman or rated his or her stay as Fair.
We randomly select a batch of 40 computer disks for shipment. The probability of selecting a good disk is the same as the probability of selecting a defective disk. In part C, you will determine the probability that this shipment contains 10 defective disks and 30 good disks for our batch or 15 defective disks and 25 good disks for our batch. Note: I am not asking for an example of an outcome, although I may ask for examples of outcomes on the exam. A. What is the size of your sample space S? i.e., How many different outcomes (batches of 40 disks) in your sample space? What are the conditions? What counting technique(s) are you using? B. How many outcomes when randomly selecting 10 defective disks and 30 good disks for our batch or 15 defective disks and 25 good disks for our batch. What are the conditions? What counting technique(s) are you using? C What is the probability of randomly selecting a batch of 10 defective disks and 30 good disks or a batch of 15 defective disks and 25…
40% of women in China like cookies. 20% of men in China like cookies. 30% of all Chinese are men. If I randomly pick a Chinese, what is the probability that that person likes cookies? Show your work.
There are 100 students surveyed. 46 are taking Calculus, 24 are taking Spanish, and 12 are taking both Calculus and Spanish. If a student is picked at random, what is the probability that the student is taking Calculus or Spanish? O A. 70% C. 46% B. 82% O D. 58%
A group of people are surveyed about their favorite drink. Suppose that 36% of people say water, 15% say milk, and 22% say soda. If you select a random person from the survey, what is the probability that their answer was not milk? Group of answer choices 85% 58% 20.5% 79.5%

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