Tuesday, 2 May 2017

probability - On average, how many times must a 6-sided die be rolled until a 6 turns up twice in a row?

On average, how many times must a 6-sided die be rolled until a 6 turns up twice in a row?



This a question from "a collection of dice problem", the original explanation I couldn't understant. Can someone explain it from the expectation (sum of an infinite series) point of view?

No comments:

Post a Comment

real analysis - How to find $lim_{hrightarrow 0}frac{sin(ha)}{h}$

How to find $\lim_{h\rightarrow 0}\frac{\sin(ha)}{h}$ without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...