2.There are 16 members in Mathematics Society, where 7 of them are S4 students,6 of them are S5 students and the rest are S6 students. Now 6 students arerandomly selected from the society.(a) Find the probability at least two S6 students are selected.(b) Find the probability that there is at least one member in each form and at leasttwo of them are S6.

Answered: Image /qna-images/answer/29dadd65-856f-48d6-90cc-695a63a3e32c.jpg

Answered: 2. There are 16 members in Mathematics…

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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Assume there are 4 programmers A, B, C, and D in a software company that develops apps. They develop, respectively, 15, 20, 30, 35 percent of the total apps there. Of their developments, respectively, 8, 5, 4, and 2 percent of the apps have bugs. An app developed by the company is chosen randomly and is found to have bugs.(a) (1 point) What is the probability that the app was developed by A?(b) (1 point) What is the probability that the app was developed by B?(c) (1 point) What is the probability that the app was developed by C?(d) (1 point) What is the probability that the app was developed by D?
Suppose there are 200 students in a classroom. And they can be classified as Blacks and Whites as well as some have white hair and some have black hair. Black white White hair 70 30 Black hair 25 75 What is the probability that a person selected at random will be a white person with black hair? What is the probability when A=white with black hair and b white with white hair? What is P (A union B)
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Chloe reaches into a bag of marbles that contains 5 green marbles, 20 blue marbles, 11 yellow marbles an 18 red marbles. You should show your work for this problem. What is the probability that Chloe reaches in the bag and randomly selects a red marble? What is the probability that Chloe reaches in the bag and randomly selects a marble that is not green? What is the probability that Chloe reaches in the bag and randomly selects a marble that is yellow or red Give your answers as fractions, or accurate to at least 4 decimal places. > Next Question 31 &
Suppose a compact disk (CD) you just purchased has 19 tracks. After listening to the CD, you decide that you like 7 of the songs. The random feature on your CD player will play each of the 19 songs once in a random order. Find the probability that among the first 5 songs played (a) you like 2 of them; (b) you like 3 of them; (c) you like all 5 of them. (a) Find the probability that among the first 5 songs played you like 2 of them. (Round to four decimal places as needed.) (b) Find the probability that among the first 5 songs played you like 3 of them. (Round to four decimal places as needed.) (c) Find the probability that among the first 5 songs played you like all 5 of them. (Round to four decimal places as needed.)
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There are 20 phone lines at a customer service center. Each call is sent to one of these lines uniformly and randomly. Two friends call at the customer service center. What is the probability that both their calls will go to the same line?
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