# Math Help - R.v independent?

1. ## R.v independent?

Consider throwing a fair die twice.The random X_i , i=1,2 is the outcome of the i-th throw of the die. Define V = X_1 + X_2 and W = X_1 - X_2 . Are the random variables V and W independent? Justify your answer.

2. Originally Posted by matty888
Consider throwing a fair die twice.The random X_i , i=1,2 is the outcome of the i-th throw of the die. Define V = X_1 + X_2 and W = X_1 - X_2 . Are the random variables V and W independent? Justify your answer.
Compare these:
$P\left(V=11\right)=?$, $P\left(W=1\right)=?$, $P\left(V=11\right)\cdot P\left(W=1\right)=?$
, and $P\left(V=11 \wedge W=1\right)=?$