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=(2^{4})=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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