MathDB

9. Spin a regular coin repeatedly until the heads and tails turned up both reach the number

k

(

k= 1, 2, \dots

); denote by

v_k

the number of the necessary throws. Find the distribution of the random variable

v_k

and the limit-distribution of the random variable

\frac {v_k -2k}{\sqrt {2k}}

k \to \infty

. (P. 10)

Problem Statement