Question

What is the probability of rolling at least one 5 or 6 when rolling the dice three times?

Answer 1

Answer:

19/27

Step-by-step explanation:

Each time that you roll a dice, there is a 1/3 chance you get a 5/6(assuming you have a fair dice). The probability of rolling that atleast once is the inverse of the probability of rolling a 1-4 each time. There is a $\frac{2}{3}$ chance each time you roll the dice. Thus raising this to the third power results in $\frac{8}{27}$. Since we are looking for the inverse probability, we can do:

$1-\frac{8}{27}$ In order to get our final answer.