The probability that $Y_{1}=0$ and $Y_{2}=0$ is calculated as follows:
\[P(Y_{1}=0, Y_{2}=0) = \left(\frac{11}{13}\right)^3 = \frac{1331}{2197}\]
The probability that $Y_{1}=0$ and $Y_{2}=1$ is calculated as follows:
\[P(Y_{1}=0, Y_{2}=1) = 3 \times
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