Question:

In an experiment, a fair cubical dice was rolled repeatedly until a six resulted, and the number of rolls was recorded. The experiment was conducted 60 times.

(a) Show that you would expect to get a six on the first roll ten times out of the 60 repetitions of the experiment.

(b) Find the expected frequency for two rolls correct to one decimal place.

Attempt:

(a) $\displaystyle n = 60$, $\displaystyle p = 1/6$

$\displaystyle E(x) = $$\displaystyle n\times p$

$\displaystyle E(x) = $$\displaystyle 60\times\frac{1}{6}$

$\displaystyle E(x) = 10$

(b) Need Help...