Question

如圖,電路由電池A,B,C并聯組成.電池A,B,C損壞的概率分別是0.3,0.2,0.2,求電路斷電的概率.

Answer 1

0.012

設事件A=“電池A損壞”,事件B=“電池B損壞”,事件C=“電池C損壞”,則“電路斷電”=ABC,
∵P(A)=0.3,P(B)=0.2,P(C)=0.2,
∴P(ABC)=P(A)·P(B)·P(C)
=0.3×0.2×0.2=0.012.
故電路斷電的概率為0.012.