Question

Which of the following resembles the sample space for flipping $\text{two}$ coins?

• A. {H, T}
• B. {HH, TT}
• C. {HH, TT, HT}
• D. {HH, TT, HT, TH}

Answer 1

The correct option is D {HH, TT, HT, TH}

$\underset{–}{\text{Sample Space:}}$
The collection of all likely outcomes of an experiment forms the $\text{sample space}$ of the experiment.

Here,
Experiment: Flipping two coins (coin 1, coin 2);
Possible outcomes:
$\bullet$ Both the faces of coin 1 and coin 2 are heads;
$\bullet$ Both the faces of coin 1 and coin 2 are tails;
$\bullet$ Face of coin 1 is head and the face of coin 2 is tail;
$\bullet$ Face of coin 1 is tail and the face of coin 2 is head
Hence, possible outcomes = {HH, TT, HT, TH}

$\therefore$ Sample Space = {HH, TT, HT, TH}