Q. 33.7( 25 Votes )

In each of the following, describe the sample space for the indicated experiment.

A coin is tossed four times.

Answer :

Let H denote the event of a head and T denote the event of a tail


Total number of sample space=(24)=16


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


w denotes the event the coin is tossed for the first time


x denotes the event the coin is tossed for the second time


y denotes the event the coin is tossed for the third time


z denotes the event the coin is tossed for the fourth time


Sample space


S={(H,H,H,H),(H,H,H,T),(H,H,T,H),(H,T,H,H),(T,H,H,H),(H,H,T,T),(H,T,H,T),(T,H,H,T),(T,H,T,H),(T,T,H,H),(H,T,T,H),(H,T,T,T),(T,H,T,T),(T,T,H,T),(T,T,T,H),(T,T,T,T)}


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