# If you flip a coin and roll a die, what is the probability that you will flip a heads and roll a 3?

May 30, 2018

$\frac{1}{12}$

#### Explanation:

When you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6). Putting these together means you have a total of $2 \times 6 = 12$ outcomes.

$P \left(H , 3\right) = P \left(H\right) \times P \left(3\right)$

$= \frac{1}{2} \times \frac{1}{6}$

The chances of flipping a head and rolling a $3$ is $\frac{1}{12}$