Question

The number of possible outcomes for flipping a coin and rolling a dice is

• A. 12

Answer 1

The correct option is A 12
Sample space for flipping a coin= $\text{{H,T}}$
$\therefore$ Possible outcomes for flipping a coin= $2$

Sample space for rolling a die= $\text{{}1,2,3,4,5,6\}$
$\therefore$ Possible outcomes for rolling a die = $6$

Total number of possible outcomes for flipping a coin and rolling a die= $2\times 6=12$

$12$ possible outcomes are as follows:

$\bullet$ For a head face on coin, we can get $6$ possibilities on die as $\text{{H1, H2, H3, H4, H5, H6}}$.
$\bullet$ Similarly, for a tail face on coin, we will have another $6$ possibilities as $\text{{T1, T2, T3, T4, T5, T6}}$.

$\therefore$ Total possible outcomes = $\text{{H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}}$ = Sample space for flipping a coin and rolling a die