Solve this question:  4. One urn contains one blue ball (labeled B1) and three red balls (labeled R1, R2, and R3). A second urn contains two red balls (R4 and R5) and two blue balls (B2 and B3). An experiment is performed in which one of the two urns is chosen at random and then two balls are randomly chosen from it, one after the other without replacement. a. Construct the 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 red balls are chosen?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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  1. 4. One urn contains one blue ball (labeled B1) and three red balls (labeled R1, R2, and R3). A second urn contains two red balls (R4 and R5) and two blue balls (B2 and B3). An experiment is performed in which one of the two

    urns is chosen at random and then two balls are randomly chosen from it, one after the other without replacement.

    a. Construct the 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 red balls are chosen?

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