Question

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

Answer 1

$\underset{–}{\text{Given}:}$
A coin is flipped and a dice is rolled

$\underset{–}{\text{Need to Find}:}$
Total number of possible outcomes

Sample space for flipping a coin $=\text{{H,T}}$
$\therefore$ Number of possible outcomes for flipping a coin $=2$

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

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

$\underset{–}{\text{12 Possible Outcomes are as Follows}:}$

$\bullet$ 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