marginal probabilities, multivariate random variables

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I want to solve the task below... However, I have a problem with the marginal probabilities not adding up to 1.

what's wrong?

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Order matters.

For $(0,1)$, it should be $2 \cdot \frac36 \cdot \frac16$ as we can switch the order.

Similarly, probability for $(1,0)$ and $(1,1)$ needs to be multiplied by $2$.