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0.9 0.9 0.8 C A B 0.8 D Un systme lectrique est constitu de quatre composants, comme illustr ci- dessous. Le systme fonctionne si

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0.9 0.9 0.8 C A B 0.8 D Un systme lectrique est constitu de quatre composants, comme illustr ci- dessous. Le systme fonctionne si les composants A et B fonctionnent et si l'un des composants C ou D fonctionne. La fiabilit (probabilit de fonction- nement) de chaque composant est galement donne. On suppose que les quatre composants fonctionnent indpendamment. 1. Quelle est la probabilit que le systme entier fonctionne? 2. Quelle est la probabilit que le composant C ne fonctionne pas, tant donn que le systme entier fonctionne? 0.8 0.9 0.9 A B 0.8 D

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