Question

Lance rolls a die 5 times. What is the probability that he rolls an even number all five times?

Answer 1

If it is a six-sided dice, then the probability would be about an 8% chance.

Answer 2

Lance rolls a die 5 times

In a six sided dice, the even numbers are 2, 4  and 6. So 3 even numbers

the probability that he rolls an even number = $\frac{3}{6} = \frac{1}{2}$

the probability that he rolls an even number all five times

= $\frac{1}{2} *\frac{1}{2} * \frac{1}{2} * \frac{1}{2} * \frac{1}{2}= \frac{1}{32}$

So answer is $\frac{1}{32}$