(a) $\frac{11}{36}$
(b) $\frac{1}{3}$
(c) $\frac{13}{36}$
(d) $\frac{1}{2}$
$+P\left(T _1\right.$ win $) P\left(T _2\right.$ win $)+P\left(T _2\right.$ win $) \cdot P\left(T _1\right.$ win $)$ $=(1 / 6 \times 1 / 6)+(1 / 2 \times 1 / 3)+(1 / 3 \times 1 / 2)=13 / 36$
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