Solution: A question of independence

Here is the state space again:

One common mistake is to infer that \(y=0\), thinking that independent events do not intersect. The definition of independence is:

\[P(A\cap B) = P(A)\cdot P(B)\]

Therefore the independence of \(A\) and \(B\) entails that:

\[y\cdot t = x\cdot z\]

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