1. There are 600 students in a college. 180 students are enrolled in an Englishcourse and 120 students are enrolled in a Programming course. There are 50students who are taking both English and Programming. If a student is chosenrandom:a) What is the probability that the student is taking Programming?b) What is the probability that the student is taking Programming given that thestudent is also taking English?c) What is the probability that the student is taking English given that the studentalso taking Programming?

Probability of an event gives the chances of occurrence for the event and its value lies between 0…

Answered: 1. There are 600 students in a college.…

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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Similar questions

A girl has five die, two of which are four-faced, one is eight-faced and two are six-faced, all being fair. She picks a pie at random and rolls it. What is the probability that a three comes up in that first roll?
20. In a survey of 400 households, 360 said they own a VCR, 170 said they own a DVD player and 19 said they didn't own either. If a person is selected at random from this survey, what is the probability that the person: a) owns a VCR, a DVD player or both? b) owns both a VCR and a DVD player? c) only owns a DVD player?
A computer retail store has 12 personal computers in stock. A customer wants to purchase three of the computers. Assume that of the 12 computers, 4 are defective. If the computers are seleceted at random what is the probability that exactly one of the purchased computers is defective?
A company has accepted a shipment of 80 new desks: 60 are made of maple and 20 are made of oak. The company will deliver three of these desks to the human resources department. The new desks will be selected at random. Total Desks 80 Total Maple Total Oak 60 20 1. What is the probability that all three desks will be maple? P(Maple and Maple and Maple). 2. What is the probability that all three desks will be oak? P(0ak and Oak and Oak). 3. What rule of probability did you use to solve this problem? Show your work.
4. A gumball machine contains 60 gumballs of which 15 are yellow, 25 are pink, and 20 are blue. To operate the machine, you put a nickel into the slot and a random gumball is dispensed. If you buy 10 gumballs, what is the probability that: a) You get 2 yellow gumballs? b) All the gumballs are the same color?
A bag contains several marbles, 7 of which are blue, 11 are yellow, and 9 are green. a. If three marbles are chosen without replacement, what is the probability that they are all yellow? b. If three marbles are chosen with replacement, what is the probability that all three are green?
4) A snack tray is arranged with 6 cups of apple slices in the first row, 8 cups of orange slices in the middle row, and 10 cups of grapes in the last row. The teacher will randomly give her first graders a cup of fruit as they enter the classroom. What is the probability that the first student who enters the classroom will be given a cup of apple slices?
There are 40 pairs of gloves in Bills’ glove basket, but the 80 individual gloves are completely mixed up.a. If 20 gloves are randomly selected, find the probability they include Bills’ favorite pair of gloves.b. If 20 gloves are randomly selected, what is the probability that at most one glove from each of the40 pairs will be picked? (Remember, a left glove is different from a right glove.)
In a mathematics semunar, 15 students are in grade 7,10 are in grade 8,20 are in grade 9,30 are in grade 10. If a student will be chosen at random , what is the probability of selecting a grade 10 student?

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