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

A coin is tossed three times.

A coin can either give a head or a tail

So, when 1 coin is tossed once the sample space=2

when the coin is tossed 3 times sample space =2³=8

The sample space can be found by relative combination of the events

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

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

where

x denotes the outcomes when the coin is tossed for the first time

y denotes the outcomes when the coin is tossed for the second time

z denotes the outcomes when the coin is tossed for the third time

The sample spaces are:

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