Permutation) In how many different ways can 4 married couples coming to a dinner1. ("be seated at a round table of eight seats (two seating arrangements are equivalent if everyone hasthe same immediate left and right neighbors).(1) if there are no restrictions?(2) if each married couple is seated together?(3) if the members of each sex are seated together?(4) Assume the eight people are seated randomly. Compute the probability P(“each marriedcouple is seated together or the members of each sex are seated together").

Given... 4 married couples coming to a dinner be seated at a round table of eight seats (two seating…

Answered: Permutation) In how many different ways…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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3) In a recent semester at a local university, 530 students enrolled in both General Chemistry and Calculus I. Of these students, 53 received an A in general chemistry, 83 received an A in calculus, and 25 received an A in both general chemistry and calculus. Find the probability that a randomly chosen student received an A in general chemistry or calculus.
A red ball and 19 white balls are in a box. If two balls are drawn, without replacement, what is the probability of getting a red R ball on the first draw and a white W ball on the second? Pr(R first Pr(R first w second) = 20 W second) = 13 18 19 Pr(R first W second) = 20 9 Pr(R first W second) = 20 Pr(R first W second) = 1
A fair six sided die (sides of 1,2,3,4,5, and 6, and each side is equally likely) is to be thrown 5 (five) times. The throws are independent of one another. What is the probability that you roll an even number in at least one of the throws?
Twenty subjects volunteer for a study of a new cold medicine. Eight of the volunteers are ages 20-39, 6 are ages 40-59, and 6 are age 60 or older. If 8 volunteers are selected at random, find the following probabilities. a) the probability that all the volunteers selected are ages 20-39 b) the probability that 4 of the volunteers are ages 20-39 and 4 are age 60 or older. c) the probability that 4 of the volunteers are ages 40-59
You and two best friends of yours are invited to a party of 10 people (including the host). a. Suppose the 10 people are randomly seated along the dining table. What's the probability that you and your best friends happen to sit next to each other, i.e., no one sits in between any of the three of you? b. After the dinner, four people are drawn randomly to play video games. What's the probability that at least one of your best friends are picked?
A math class consists of 25 students, 14 female and 11 male. Three students are selected at random to participate in a probability experiment. Compute the probability that three females are selected. Probability of first student being a female = (as a fraction) Probability of second student being a female = (as a fraction) Probability of third student being a female = (as a fraction) Probability that three females are selected = (as a decimal rounded to the nearest thousandth)
A subcommittee is to be selected from a committee of men and women. For this problem, assume that there are 8 men and 5 women on the committee, and that a subcommittee of 3 is selected at random. What is the probability that all are male given that all are the same sex?

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