Q. 194.0( 2 Votes )

There are three coloured dice of red, white and black colour. These dice are placed in a bag. One die is drawn at random from the bag and rolled, its colour and the number on its uppermost face is noted. Describe the sample space for this experiment.

Answer :

Given: There are three colored dice of red , white and black color. These dice are placed in bag.


To Find: Write the sample space for the given experiment.


Explanation: A dice has 6 faces containing numbers (1, 2, 3, 4, 5, 6)


Let us Assume Red = R


Let us Assume White = W


Let us Assume Black = B


According to question, when Dice is selected , then rolled.


Firstly, selected Red Dice then, Possible samples are:


SR={(R, 1), (R, 2)(R, 3), (R, 4), (R, 5), (R, 6)}


Then, White Dice will be selected , So the sample spaces are:


Sw={(W, 1), (W, 2), (W, 3), (W, 4), (W, 5), (W, 6)}


Lastly, Black Dice will be selected and rolled , So the sample spaces for Black die


SB= {(B, 1)(B, 2)(B, 3)(B, 4)(B, 5), (B, 6)}


Thus, The total sample for the given experiment is


S=SR SW SB



Hence, B is the sample space for the given experiment.


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