Question

The total number of elements in the sample space for the experiment where a coin is tossed and a die is thrown is:

• A. $6$
• B. $12$
• C. $36$
• D. $4$

Answer 1

The correct option is B $12$

Either coin can turn up Head $\left(H\right)$ or Tail $\left(T\right)$. Hence they are the possible outcomes.
Let us assume that $1,2,3,4,5$ and $6$ are possible outcomes when the die is thrown.
Then, total number of elements in the sample space $=(2\times 6)=12$