# You flip a coin and roll a dice. What is the probability the coin lands on heads and the dice lands on a number less than 5?

Jun 2, 2017

$= \frac{1}{3}$

#### Explanation:

On a coin, the probability of heads:
$P \left(H\right) = \frac{1}{2}$

ON a die, the probability of getting a number less than $5$:
$P \left(1 , 2 , 3 , 4\right) = \frac{4}{6}$

$P \left(H \mathmr{and} \text{no. less than } 5\right) = \frac{1}{2} \times \frac{4}{6}$

$= \frac{1}{\cancel{2}} \times {\cancel{4}}^{2} / 6$

$= \frac{2}{6}$

$= \frac{1}{3}$