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

Falak Kinney 2021-08-19 Answered
Let X represent the difference between the number of heads and the number of tails obtained when a coin is tossed n times.
What are the possible values of X?
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hesgidiauE
Answered 2021-08-20 Author has 106 answers

Let X represent the difference between the number of heads and the number of tail obtained when a coin is tossed n times.
We are interested in all possible outcomes of X.
In n coins tossed tails can be obtained 0,1,2,……….,n times. If tails are obtained k times number of heads or obtained precisely n-k times.
Therefore, let us t be the number of tails and h=n-t number of heads. Lets define
X=ht=ntt=n2t
Therefore all possible outcomes of X can be described by
{n2t|t={0,1..,n}}.
Thus, we done.
Result:
Possible values of X are n2t|t=0,1..,n.

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