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.

Question

Philoid · Accepted 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.