1. An aesthetic club has 100 members. Out of them 40 do dancing, 45 do music and 24 do drama. 15 do both dancing and music, 11 do both dancing and drama and 13 do both music and drama and 5 do dancing, music and drama. Remaining members do arts. Let D represents the randomly selected member does dancing, M represents the randomly selected member does music, R represents the randomly selected member does drama. A represents the randomly selected member does arts. Represent the given information in a Venn diagram. Use that Venn diagram to answer the following questions. A. Find the probability that a randomly selected member either does dancing or music and Find whether the events "The randomly selected member does drama” and “The randomly selected member does music" are independent or not.

1. An aesthetic club has 100 members. Out of them 40 do dancing, 45 do music and 24 do drama. 15 do both dancing and music, 11 do both dancing and drama and 13 do both music and drama and 5 do dancing, music and drama. Remaining members do arts. Let D represents the randomly selected member does dancing, M represents the randomly selected member does music, R represents the randomly selected member does drama. A represents the randomly selected member does arts. Represent the given information in a Venn diagram. Use that Venn diagram to answer the following questions. A. Find the probability that a randomly selected member either does dancing or music and Find whether the events "The randomly selected member does drama” and “The randomly selected member does music" are independent or not.

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...

See similar textbooks

Similar questions

Proficiency #8. [English Sentences] Which of the following are logically equivalent to the predicate logic statement (Eευ) (p(x) Λ q(x) if U is the set of all owls, p(x) is the statement "x is upset", and q(x) is the statement "x is surprised"? (Choose all that apply): I. There exists a surprised owl who is upset. II. No upset owls are not surprised. III. All surprised owls are upset owls. IV. Some upset owls are surprised owls. V. Not all upset owls are not surprised.
A group of 499 students were surveyed about the courses they were taking at their college with the following results:228 students said they were taking Math.213 students said they were taking English.237 students said they were taking History.61 students said they were taking Math and English.84 students said they were taking Math and History.74 students said they were taking English and History.17 students said they were taking all three courses.How many students took Math, English, or History ?
of 900 people interviewed 254 said they like only hamburgers, 461 said they only like hot dogs, and 140 people said they liked both hamburgers and hotdogs. How many people interviewed didn’t like either?
600 students at Drew High School were surveyed. 269 of them were males. 455 of the students' wear jewelry, and 300 of the students that wear jewelry are females.
180 students were surveyed on their current enrollment in Math, Biology, and Chemistry. The results are listed below. 82 students are enrolled in Math. 58 students are enrolled in Biology. 70 students are enrolled in Chemistry. 33 students are enrolled in Math and Bio. 24 students are enrolled in Bio and Chem. 26 students are enrolled in Math and Chem. 14 students are enrolled in all three courses. How many students were enrolled in at least one of the three courses?
A teacher will randomly award three students with extra credit. How many possible ways can the teacher pick these three students from a class of 20 students?
Nine data encounters are to be assigned to three jobs requiring 2, 3, and 4 encoders, respectively. How many ways can the nine encoders be assigned to the three jobs?
In a survey, 200 restaurants were asked to select which of the following options were on their menu: tacos, burgers. 98 of the restaurants serve tacos and 74 of the restaurants serve burgers. 37 of the restaurants serve neither of these options. How many of the restaurants serve both tacos and burgers? Show your work.