# Suppose that you toss a coin and roll a die.What is the probability of obtaining tails and a five?

Nov 5, 2015

$\frac{1}{12}$

#### Explanation:

There are 2 possible outcomes for a coin and 6 for a die.
$P \left(\text{tails}\right) = \frac{1}{2}$
$P \left(5\right) = \frac{1}{6}$

Since they are independent and we are taliking about an AND -situation we must multiply the probabilities:

$\frac{1}{2} \cdot \frac{1}{6} = \frac{1}{12}$