Question

How large is the sample space when rolling a die five times?

Answer 1

7776

Explanation

The size of the sample space is the total number of possible outcomes.for example, for a dice, the possible outcomes are 1, 2,3 4, 5 or 6, when rolling a dice five times we have:

Each time you roll the dice there are 6 possible outcomes. (1 of 6)

$6$

now, you have to roll the dice five times

then

$\text{sample space=6}^5=6\cdot6\cdot6\cdot6\cdot6=7776$

I hope this helps you