Describe sample space for indicated experiment: A coin is tossed three times.

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14.Probability

easy

Describe the sample space for the indicated experiment: A coin is tossed three times.

A

$S =\{ HHH ,\, HHT ,\, HTH ,\, HTT , \,THH , \,THT , \,TTH , \,TTT \}$

B

$S =\{ HHH ,\, HHT ,\, HTH ,\, HTT , \,THH , \,THT , \,TTH , \,TTT \}$

C

$S =\{ HHH ,\, HHT ,\, HTH ,\, HTT , \,THH , \,THT , \,TTH , \,TTT \}$

D

$S =\{ HHH ,\, HHT ,\, HTH ,\, HTT , \,THH , \,THT , \,TTH , \,TTT \}$

Solution

A coin has two faces: head $(H)$ and tail $(T)$.

When a coin is tossed three times, the total number of possible outcome is $2^{3}=8$

Thus, when a coin is tossed three times, the sample space is given by :

$S =\{ HHH ,\, HHT ,\, HTH ,\, HTT , \,THH , \,THT , \,TTH , \,TTT \}$

Standard 11

Mathematics

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(JEE MAIN-2021)