Understanding the Possible Values of X in Coin Tossing Experiment

 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?

Coin tossing is a simple yet fascinating experiment that generates random outcomes. In this blog post, we will look at the difference between the number of heads and the number of tails obtained when a coin is tossed n times and explore the possible values of X.

Let X represent the difference between the number of heads and the number of tails obtained when a coin is tossed n times. It is important to note that X can only take on integer values.

Since a coin has two sides, heads and tails, when it is tossed n times, the number of heads and the number of tails must be equal. Therefore, when n is even, X can only take on the value 0. When n is odd, X can take on the values from -(n-1)/2 to (n-1)/2, inclusive.

For example, when n = 4, X can only take on the value 0 since the number of heads and tails must be equal. When n = 3, X can take on the values -1, 0, and 1, since the number of heads and tails can differ by at most 1.

The possible values of X, the difference between the number of heads and tails in a coin tossing experiment, depend on the number of tosses, n. When n is even, X can only take on the value 0. When n is odd, X can take on the values from -(n-1)/2 to (n-1)/2, inclusive.