Need help with Probability homework 10. Box A has 3 green marbles and 1 red marble, box B has 4 green marbles and 2 red marbles, and box C has 5 greenmarbles and 3 red marbles. Peter rolls a die first. If the die comes up 1, then he will randomly choose a marble frombox A; if the die comes up 2 or 3, he will randomly choose a marble from box B; if the die comes up 4, 5 or 6, hewill randomly choose a marble from box C.(a) What is the probability that Peter gets a red marble?(b) If it's known that Peter gets a red marble, what is the probability that the marble is chosen from box A?(c) If it's known that Peter gets a green marble, what is the probability that the marble is chosen from box C?

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Answered: (a) What is the probability that Peter…

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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(a) What is the probability that Peter gets a red marble? (b) If it's known that Peter gets a red marble, what is the probability that the marble is chosen from box A? (c) If it's known that Peter gets a green marble, what is the probability that the marble is chosen from box C?