# Suppose you had 5 regular dice. What are the odds of rolling a 3, 3, 4, 5, and 6?

Apr 18, 2017

One out of 7776

#### Explanation:

Since there is only one outcome when you roll a dice, your odd (let's say getting 4) is $\frac{1}{6}$ for one roll.

Now you have five regular dices, and you want one result. Your odd is:

$\left(\frac{1}{6}\right) \cdot \left(\frac{1}{6}\right) \cdot \left(\frac{1}{6}\right) \cdot \left(\frac{1}{6}\right) \cdot \left(\frac{1}{6}\right)$
or
$= \frac{1}{{6}^{5}}$

$= \frac{1}{7776}$