Describe the sample space for the indicated experiment.
One die of red colour, one of white colour and one of blue colour are placed in a bag. One die is selected at random and rolled, its colour and the number on its upper most face is noted. Describe the sample space.

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Solution

The three die are R, W and B then
$S_{1} = {R, W, B}$
A die is rolled then $S_{2} = {1, 2, 3, 4, 5, 6}$
Hence $S = {R 1, R 2, R 3, R 4, R 5, R 6, W 1, W 2, W 3, W 4, W 5, W 6, B 1, B 2, B 3, B 4, B 5, B 6}$

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Describe the sample space for the indicated experiment. One die of red colour, one of white colour and one of blue colour are placed in a bag. One die is selected at random and rolled, its colour and the number on its upper most face is noted. Describe the sample space.

The three die are R, W and B then S1={R,W,B} A die is rolled then S2={1,2,3,4,5,6} Hence S={R1,R2,R3,R4,R5,R6,W1,W2,W3,W4,W5,W6,B1,B2,B3,B4,B5,B6}

Describe the sample space for the indicated experiment.
One die of red colour, one of white colour and one of blue colour are placed in a bag. One die is selected at random and rolled, its colour and the number on its upper most face is noted. Describe the sample space.

The three die are R, W and B then
$S_{1} = {R, W, B}$
A die is rolled then $S_{2} = {1, 2, 3, 4, 5, 6}$
Hence $S = {R 1, R 2, R 3, R 4, R 5, R 6, W 1, W 2, W 3, W 4, W 5, W 6, B 1, B 2, B 3, B 4, B 5, B 6}$