Question

A coin is flipped twice. H represents heads, and T represents tails. What is the sample space? {TH, TT, HT} {HH, TT} {TH, HT} {TH, TT, HT, HH}

Answer 1

Answer:  {TH, TT, HT, HH } is the sample space.

Step-by-step explanation:

Since, The sample space is the set of all possible outcomes or results of that experiment.

If a coin is flipped n times then total number of outcomes = $2^n$

Therefore, When a coin is tossed two times then the total number of the outcomes = $2^2$ = 4

Thus, the set of the sample space must contains 4 elements.

Therefore,  {TH, TT, HT} can not be the set of sample space because it only contains 3 element.

{HH, TT}  can not be the set sample space because it only contains 2 element.

{TH, HT} can not be the set sample space because it only contains 2 element.

{TH, TT, HT, HH} is the set of sample space because it contains 4 element.