QUESTION 11 Multiplication Principle for Conditional Probabilities A probability experiment consists of two stages, in which a 6-sided die is rolled in the first stage and a marble is drawn from an...

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Extracted text: QUESTION 11 Multiplication Principle for Conditional Probabilities A probability experiment consists of two stages, in which a 6-sided die is rolled in the first stage and a marble is drawn from an urn in the second stage. If the number on the die is 1, 2, or 3, a marble is drawn from urn #1, which contains 1 green, 2 white, and 1 red marble If the number on the die is 4 or 6, a marble is drawn from urn #2, which contains 1 red, 1 blue, and 1 green marble If the number on the die is 5, a marble is drawn from urn #3, which contains 1 green, 2 blue, and 2 white marbles a) Determine each of the following (conditional) probabilities Pr( 'white' | 1,2, or 3) Pr( 'white' | 5) Pr( 'white' | 4 or 6) Pr('green' | 4 or 6) b) Use a tree diagram and apply the multiplication principle to find the probability corresponding to each of the branches of this tree (each of the possible outcomes for the sample space).