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:

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

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

S_{w}={(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

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

Thus, The total sample for the given experiment is

S=S_{R} S_{W} S_{B}

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

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