Find three events that are dependent but pairwise independent Let $(\Omega, \mathcal F, P)$ denote the probability triple for the discrete uniform distribution on the set $\{1,2,3,4\}$.
Q. Give an example of three dependent events with probabilities strictly between $0$ and $1$, that are pairwise independent.

so My logic on this is something like a spinner with equal chances for all 4 and then if you get a certain number you flip a coin or something 
I just am confused on how they can be pairwise independent but then dependent combined u no
 A: Here is another example. Consider binary random variables: 
\begin{array}{c|c|c|c|c}
 \omega & 1 & 2 & 3 & 4 \\ 
 \hline
 X_1(\omega) & 1 & 1 & 0 & 0 \\
 \hline 
 X_2(\omega) & 1 & 0 & 1 & 0 \\
 X_3(\omega) = X_1(\omega) + X_2(\omega) \; \text{mod} \;2 &
 0 & 1 & 1& 0
\end{array}
It is not hard to see that these three are pariwise independent. For example, if I know $X_1 = 1$, it is equally likely that either of $X_2$ or $X_3$ are 0 or 1, and similarly for the other cases. However, they are not mutually independent, since given $X_1$ and $X_2$, $X_3$ is completely determined (whereas unconditionally it is not.)
This by the way is the classical example.
A: Here's an example
Here A,B,C are pairwise independent but all three together are not mutually independent.
Another example
Suppose two independent dice, one blue and one red, are rolled.
Let A be the event that the face on the blue die is even,
B the event that the face on the red die is even,
and C the event that sum of the two faces is even.
