A box contains 3 marbles: 1 red, 1 green, and 1 blue. Consider an experiment that consists of taking 1 marble from the box and then replacing it in the box

A box contains 3 marbles: 1 red, 1 green, and 1 blue. Consider an experiment that consists of taking 1 marble from the box and then replacing it in the box

J
240 points

A box contains 3 marbles: 1 red, 1 green, and 1 blue. Consider an experiment that consists of taking 1 marble from the box and then replacing it in the box and drawing a second marble from the box. Describe the sample space. Repeat when the second marble is drawn without replacing the first marble.

A box
jeffp

8.7k points

Describe the sample space

The sample space is all possible outcomes with replacement

$$\{ (R,R),(R,G),(R,B),(G,G),(G,R),(G,B),(B,B),(B,R),(B,G)\}$$

The sample space of all possible outcomes without replacement

$$\{ (R,G),(R,B),(G,R),(G,B),(B,R),(B,G)\}$$

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