Gujarat BoardEnglish MediumSTD 11 ScienceMATHSPROBABILITY2 Marks
Question
A coin is tossed three times. Describe the sample space for the indicated experiment.
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Answer
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 $=2 \times 2 \times 2=2^3=8$
The sample space can be found by the relative combination of the events
Let H denote the event of a head and T denote the event of a tail
The sample space can be found by the relative combination of the events
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
Hence, the sample space is:
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)}
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