Let (left(B_{t}ight)_{t geqslant 0}) be a (mathrm{BM}^{1}) and (0

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Let \(\left(B_{t}ight)_{t \geqslant 0}\) be a \(\mathrm{BM}^{1}\) and \(0

a) \(\mathbb{P}\left(B_{t}=0ight.\) for some \(\left.t \in(u, v)ight)\);

b) \(\mathbb{P}\left(B_{t} eq 0 \forall t \in(u, w) \mid B_{t} eq 0 \forall t \in(u, v)ight)\);

c) \(\mathbb{P}\left(B_{t} eq 0 \forall t \in(0, w) \mid B_{t} eq 0 \forall t \in(0, v)ight)\).

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