0 votes 0 votes James Bond is playing a game that involves repeatedly rolling a fair standard 6-sided die. What is the expected number of rolls until he gets a 5 ? Probability goclasses2025-da-probability-3 numerical-answers goclasses probability 2-marks + – GO Classes asked Jun 5 • edited Jun 12 by GO Classes GO Classes 71 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes By the reasoning above, we can express $E[X]$ in a recursive fashion and solve for it.$$\begin{aligned}E[X] & =\frac{1}{6} \cdot 1+\frac{5}{6}(E[X]+1) \\& =\frac{1}{6}+\frac{5}{6}+\frac{5}{6} E[X] \\\frac{1}{6} E[X] & =1 \\E[X] & =6\end{aligned}$$ GO Classes answered Jun 5 GO Classes comment Share Follow See all 0 reply Please log in or register to add a comment.