Question

Which among the following represents a sample space when a coin is tossed?
($H$ represents head and $T$ represents tail)

• A. $S=\{H,T\}$
• B. $S=\{T,T\}$
• C. $S=\{H,H\}$
• D. $S=\{T,H\}$

Answer 1

Answer: (A), (D)

$S=\{T,H\}$

When a coin is tossed, we have $2$ possible outcomes as head(H) or tail(T).

The sample space $S$ when a coin is tossed can be represented as:
$S=\{H,T\}$
As we know that the order doesn't matters while writing a sample space.
We can say that:
$S=\{T,H\}$

$\therefore S=\{H,T\}=\{T,H\}$

Therefore, option (a.) and (d.) are the correct answers.