5. One bag contains four green marbles (labeled G1, G2, G3, G4). A second bag contains two green marbles (labeled Gs, Ge) and two red marbles (labeled R1, R2). An experiment is performed in which one of the two bags is chosen at random and then two marbles are randomly chosen, one after the other without replacement. (a) Construct a possibility tree showing all possible outcomes of this experiment. (b) What is the total number of outcomes of this experiment? (c) What is the probability that two green marbles are chosen?

5. One bag contains four green marbles (labeled G1, G2, G3, G4). A second bag contains two green marbles (labeled Gs, Ge) and two red marbles (labeled R1, R2). An experiment is performed in which one of the two bags is chosen at random and then two marbles are randomly chosen, one after the other without replacement. (a) Construct a possibility tree showing all possible outcomes of this experiment. (b) What is the total number of outcomes of this experiment? (c) What is the probability that two green marbles are chosen?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

**Problem 5: Marble Experiment**

One bag contains four green marbles (labeled $ G_1, G_2, G_3, G_4 $). A second bag contains two green marbles (labeled $ G_5, G_6 $) and two red marbles (labeled $ R_1, R_2 $). An experiment is performed in which one of the two bags is chosen at random, and then two marbles are randomly chosen, one after the other, without replacement.

(a) **Construct a possibility tree showing all possible outcomes of this experiment.**

(b) What is the total number of outcomes of this experiment?

(c) What is the probability that two green marbles are chosen?

(d) What is the probability that two marbles of different colors are chosen?

(e) What is the probability that two red marbles are chosen?

**Reality check:** Check that your probabilities add up to 1.

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