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3. A box contains three marbles: one Yellow, one Red, and one Blue. Consider an experiment that consists of taking one marble from the box,
3. A box contains three marbles: one Yellow, one Red, and one Blue. Consider an experiment that consists of taking one marble from the box, then replacing it in the box, and drawing a second marble from the box. Each marble is equally likely to be selected. (1) l2) l3) (4) What is the sample space based on the experiment of (color of the first marble, color ofthe second marble)? Define the following two events: A. one of the two marbles is Yellow. B. The first marble is Yellow. What is the probability of [first marble is Yellow, second marble is Blue}? What is the probability of event A in (2)? and event B? Following Question 3, suppose we replace the original Yellow marble with a larger Yellow marble. This new Yellow marble is twice as likely to be drawn than the Red and Blue marbles. For this question, we consider another experiment where only one marble is drawn. (1) l2) l3) (4) Does the experiment have a simple sample space? What is the probability PrlYellow)? What is the probability of drawing either Yellow or Blue marble? Consider the experiment in Question 3 [where we need to draw two marbles), but now we use the upsized Yellow marble instead. Recalculate your answer for (3) in Question 3
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