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Math Help - R.v independent?

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    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.
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    Quote Originally Posted by matty888 View Post
    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)=?
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