Question

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

Answer 1

Let h denotes the number of heads and t denotes the number of tails,when a coin is tossed 6 times,Then,
X=difference between h and t=|h-t|
Now,h:0 1 2 3 4 5 6
therefore,t:6 5 4 3 2 1 0
And,hence X:6 4 2 0 2 4 6
Therefore,the possible values of X are 6,4,2,0.