There are 3 Boxes having the following compositions of black and white balls. Box I: 6white, 4 black balls; Box II: 3 white, 7 black balls; Box III: 2 white, 8 black balls. One ofthese boxes is chosen at random with probabilities 0.30, 0.50, and 0.20, respectively. Fromthe chosen box, two balls are drawn without replacement. Then(i) Calculate the probabilities that both balls are white.(ii) What is the probability that both the balls selected from Box II?

We have given that The probability of selecting Box l is 0.30, theprobability of selecting Box ll is…

Answered: There are 3 Boxes having the following…

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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April has a bag with 7 blue sweets and 3 red sweets in it She picks up a sweet at random from the bag, replaces it and then picks again at random. Draw a tree diagram to represent this situation and use it to calculate the probabilities that she picks: Two red sweets No red sweets At least one blue sweet
Derek has a bag of marbles with 5 Blue marbles, 1 White marbles, and 1 Red marbles.Find the following probabilities of Derek drawing the given marbles from the bag if the first marble(s) is(are) not returned to the bag after they are drawn.(a) A Blue, then a Red = (b) A Red, then a White = (c) A Blue, then a Blue, then a Blue =
In a recent election there were 1000 eligible voters. They were asked to vote on two issues, A and B. The result were as follows: 300 people voted for A, 450 people voted for B, and 50 people voted for A and B. If one person is chosen at random from the 1000 eligible voters, find the following probabilities: 1) The person voted for A, given that he voted for B. 2) The person voted for B, given that he voted for A.
A bag contains 5 red balls and 3 white balls. If 3 balls are drawn with replacement from the bag, what are the probabilities that. a. 2 balls will be red? b. a least 2 balls will be red?
6. A large group of people is to be checked for two common symptoms of a certain disease. It is thought that 20% of the people possess symptom A alone, 30% possess symptom B alone, 10% possess both symptoms, and the remainder have neither symptoms. For one person chosen at random from this group, find these probabilities (a) The person has neither symptom. (b) The person has at least one symptom. (c) The person has both symptoms, given that the person has symptom B.
Omar commutes from his home to Concordia by car. To try to get to his class on time, he tries different routes to get to Concordia but heavy traffic and construction keeps occurring randomly along his four favourite routes: routes A, B, C, and D, which he takes with probabilities of 0.4, 0.15, 0.3, and 0.15, respectively. If he takes route A then he is on time for class with a probability of 0.7, if route B then he is on time with probability 0.9, if route C then he is on time with probability 0.8, and if route D then he is on time with probability 0.6. (a)What is the probability that Omar arrives to class on time? (b) If Omar arrives to class on time, what is the probability that he took route A?
In a bolt factory, machines A, B, C manufacture 30%, 30%, 40% of the total output respectively. From their outputs, 4, 5, 3 per cents are defective bolt. A bolts is drawn at random and found to be defective. What are the probabilities that it was manufactured by machines A, B and C?
Kevin is hiring two interns, and all applicants are either enrolled at Reading College (R) or Beekman College (B). He randomly picks two interns from the entire set of applicants. The tree diagram below shows the probabilities of the different outcomes. Based on the diagram, what is the probability of hiring two interns from Reading College? Provide the final answer as a fraction.

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