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.
Charles has six songs on a playlist. Each song is by a different artist. The artists are Joey McIntyre, Whitney Houston, Aaron Carter, Shakira, Shania Twain, and Phil Collins. He programs his player to play the songs in a random order, without repetition. What is the probability that the first song is by Aaron Carter and the second song is by Joey McIntyre? Write your answer as a fraction or a decimal, rounded to four decimal places. The probability that the first song is by Aaron Carter and the second song is by Joey McIntyre is .
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:
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?
A large construction company has a workforce that is 80% men. Two workers are selected at random. What is the probability that both workers are of the same gender?
A circle of friends consist of 10 individuals. 3 of them likes chocolate, 2 likes strawberry and 5 likes vanilla. what is the probability of randomly selecting 6 friends in the following manner: 1 likes chocolate, 2 likes strawberry and 3 likes vanilla?
In one town, 81% of all voters are Democrat. If two voters are randomly selected for a survey, what is the probability that they are both Democrat
In a biology class, there are 40 students, 18 of whom are female and 22 are male. If two students are randomly selected as lab partners, what is the probability that both students are of the same gender?