Abox contains 4 marbles, 2 red, 1 green, 1 blue. consider an experiment that consists of taking 1 marble from the box, 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 first replacing the first marble

solution: we are given a box contains 4 marbles 2 reds, 1 green and 1 blue.

let first red be denoted by , second red by , green by and blue by

in the first case an experiment is performed with replacement. therefore, the sample space contains 16 outcomes. these outcomes can be represented as

in the second case an experiment is performed without replacement. therefore, the sample space contains 12 outcomes. these outcomes can be represented as