Example of non-mutually exclusive event using a coin What I seen so far,
The probability of tossing heads is 1/2.
The probability of tossing tails is 1/2.
Therefore, the probability of tossing a coin for either tails or heads is 1 which is a mutually exclusive event.
Is it possible to show an example of non-mutually exclusive event using such a single coin example? If not then what are it's requirements?
 A: 
Event A: The coin comes up heads.
  Event B: The coin comes up either heads or tails.

The probability of A is $\frac12$; the probability of B is $1$.
For less trivial examples you need more than two possible outcomes. Flipping a coin twice (or flipping two coins) will work, as will rolling a die. With two coin tosses, for instance:

Event A: I get at least one head.
  Event B: I get at least one tail.

These are not mutually exclusive: both occur if I get HT or TH. They’re also not identical: if I get HH, A occurs but B doesn’t. Each has probability $\frac34$.
With a die:

Event A: the number that comes up is even.
  Event B: The number that comes up is $1,2$, or $3$.

If I roll a $2$, both A and B occur, so they’re not mutually exclusive. Note that in this case each has probability $\frac12$, so their probabilities do add up to $1$, even though they are not mutually exclusive.
A: According to wikipedia, the toss of a single coin is a clear example of mutual exclusivity (https://www.wikiwand.com/en/Mutual_exclusivity). The outcome is either heads or tails, but not both. That seems to contradict: "The single event "either heads or tails" which you correctly say has probability 1 cannot be a mutually exclusive event; as I said in my first comment, mutual exclusion requires at least two events." I think this first explanation has got it reversed. A single coin flip results in one of two mutually exclusive events. Repeated tosses are independent of one another. Correct?
