Q. 7

In each of the following, 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 uppermost face is noted. Describe the sample space.

Answer :

Let R denote the event the red die is chosen W denote the event the white die is chosen B denote the event the Blue die is chosen

1,2,3,4,5,6 denote the event the respective numbers come when the die is thrown

We define the possible outcomes by an ordered set (x , y)

x denotes the first event a die is chosen

y denotes the second event the die is thrown and a number comes up

Total number of possible outcomes=(6×3)=18

The sample space of the event is

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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