probability experiment, a fair dice is rolled, if the dice is 1 box number 1 is selected, if 6 comes box number 2, and if other numbers come box number 3 is selected. Box number 1 contains 1 red 2 green 3 blue, box number 2 contains 2 red 3 green 1 blue and box number 3 contains

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In a probability experiment, a fair dice is rolled, if the dice is 1 box number 1 is selected, if 6 comes box number 2, and if other numbers come box number 3 is selected. Box number 1 contains 1 red 2 green 3 blue, box number 2 contains 2 red 3 green 1 blue and box number 3 contains 3 red, 1 green and 2 blue marbles. Then a random marble is taken from the selected box. If the marble is red, find its expected value and variance by calculating the probability density function of the probability of the dice coming in 1, 2, 3, 4, 5 and 6 or less.

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