An almost out-of-business movie theatre has three categories of seats - front, middle, and rear. Of the total number of seats, 10% are front seats, 30% are middle seats, and the rest are rear seats. It is known from previous experience of movie-goers that 5% of the front seats, 10% of middle seats, and 20% of the rear seats are broken. Determine the probability of a randomly selected seat being broken.

An almost out-of-business movie theatre has three categories of seats - front, middle, and rear. Of the total number of seats, 10% are front seats, 30% are middle seats, and the rest are rear seats. It is known from previous experience of movie-goers that 5% of the front seats, 10% of middle seats, and 20% of the rear seats are broken. Determine the probability of a randomly selected seat being broken.

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

A car dealership sells two types of cars: sedans and SUVs. The dealership conducted a survey and found that out of 200 customers, 120 purchased sedans, 80 purchased SUVs, and 40 purchased both types of cars. Calculate the probability that a randomly selected customer purchased either a sedan or an SUV.
In a large population, 70 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?
About 45% of students participate in a community volunteer program outside of school. If 50 students are selected at random, find the probability that at most 25 of them participate in a community volunteer program outside of school.
33% of all college students major in STEM (Science, Technology, Engineering, and Math). If 30 college students are randomly selected, find the probability that exactly 8 of them major in STEM.
In a secondary school, 58% of students who is studying in an art course have purchased a drawing board. If 12 students are randomly selected, what is the probability that exactly 7 of them have purchased a drawing board?
A convenience store estimated that 22% of its customers come in to buy milk. What is the probability that out of the next 200 customers, 65 or fewer will buy milk?
31% of all college students major in STEM (Science, Technology, Engineering, and Math). If 44 college students are randomly selected, find the probability that exactly 11 of them major in STEM.
Eight percent of Americans have a master's degree. If five Americans are selected at random, what is the probability that none of the five have a master's degree?
At The Fencing Center, 60% of the fencers use the foil as their main weapon. We randomly survey 28 fencers at The Fencing Center. We are interested in the numbers that do not use the foil as their main weapon. Find the probability that eleven do not use the foil as their main weapon.
Of the patients at a cardiac rehabilitation centre, 36% lead a sedentary lifestyle and have had a heart attack. If 78% of the patients lead a sedentary lifestyle, find the probability that a randomly selected patient has had a heart attack, given that he or she leads a sedentary lifestyle. Answer:
27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 34 college students are randomly selected, find the probability that exactly 10 of them major in STEM.
Four hundred fifty of the six thousand students at Ocean State College like math, three thousand five-hundred like English, and three hundred like both. What is the probability that one student, chosen at random, likes math or English?