Let $X$ represent the difference between the number of heads and the number of tails obtained when a coin is tossed 6 times. What are possible values of $X$ ?

.: A coin is tossed 6 times.

Let $X$ denote the random variable which represents the difference between the number of heads and the numbers oftalls obtained when a coin is tossed 6 times.

$\begin{array}{llllllllllllllllllll}{{\rm{No}}{\rm{. of Heads}}\;\;\;\;\;\;\;\;\;\;\;\;\,6\;\;\;\;\;\;\;\;\;5\;\;\;\;\;\;\;\;\;4\;\;\;\;\;\;\;\;\;3\;\;\;\;\;\;\;\;\;2\;\;\;\;\;\;\;\;\;1\;\;\;\;\;\;\;\;\;0}\\{{\rm{No}}{\rm{. of Tails\;}}\;\;\;\;\;\;\;\;\;\;\;\;\;\;0\;\;\;\;\;\;\;\;\;1\;\;\;\;\;\;\;\;\;2\;\;\;\;\;\;\;\;\;3\;\;\;\;\;\;\;\;\;4\;\;\;\;\;\;\;\;\;5\;\;\;\;\;\;\;\;\;6\;\;\;\;\;\;\;\;\;}\\{{\rm{Difference between}}\;\;\,6\;\;\;\;\;\;\;\;\;4\;\;\;\;\;\;\;\;2\;\;\;\;\;\;\;\;\;0\;\;\;\;\;\;\;\;\,2\;\;\;\;\;\;\;\;\;4\;\;\;\;\;\;\;\;\;6}\end{array}$

number of Head and Tails $\left( X \right)$

Hence, possible value of $X$ are 0, 2, 4, 6.