Engineering
Mathematics
Fundamental Principal of Counting
Basic Definitions Related to Probability
Sets
Question

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 uppermost face is noted. Describe the sample space.

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Solution
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A die has six faces that are numbered from 1 to 6 with one number on each face.
Let us denote the red, white, and blue dices as R, W and B respectively.
Accordingly when a die is selected and then rolled the sample space is given by,

S = R1, R2, R3, R4, R5, R6, W1, W2, W3, W4, W5, W6, B1, B2, B3, B4, B5, B6