Question

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

Answer 1

Let M denotes the number of heads and N denotes the number of tails when a coin is tossed 6 times, Then,

Given, X=difference between M and N = |M-N|

Here, both M and N can take values 0,1,2,3,4,5,6 but M +N is always equal to 6. Look at the following table:

$\begin{array}{cccccccc}M& 0& 1& 2& 3& 4& 5& 6\\ N& 6& 5& 4& 3& 2& 1& 0\\ X& 6& 4& 2& 0& 2& 4& 6\end{array}$