By rolling a six-sided die 6 times, a strictly increasing sequence of
numbers was obtained, what is the probability of such an event?
I have no ideas on how to attack this. It says, an increasing sequence for the $6$ times were obtained. So this means, that on the first roll, you get $1$, and on second you get $2$, on the third you get $3$, and so on. The total sample space is given by $6^6$ and the probability of obtaining the set $\{1,2,3,4,5,6\}$ is $\frac{1}{6^6}$? Please help.
Best Answer
I think you are correct. No problem.