Any help appreciated, thanks.
Three dice are thrown. What is the probability that the total number of dots shown is twelve? What is the probability that the total number of dots shown is twelve and at least one or more of them shows a six?
Any help appreciated, thanks.
Three dice are thrown. What is the probability that the total number of dots shown is twelve? What is the probability that the total number of dots shown is twelve and at least one or more of them shows a six?
You are correct about the 25.
However, each of the twenty-five may have different probabilities.
For example $\displaystyle 444$ can appear in only one way.
But, $\displaystyle 255$ can appear in three different ways.
And $\displaystyle 246$ can appear in six different ways.
$\displaystyle 6^3=216$ Thus the $\displaystyle \mathcal{P}(4+4+4)=\frac{1}{216}$.