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wel
3 years ago
13

How to find the probability? Please show your work. Thanks!

Mathematics
1 answer:
Svetllana [295]3 years ago
3 0

The event of the machine working is A\cap B\cap C\cap D, and since the components operate independently, we have

P(A\cap B\cap C\cap D)=P(A)P(B)P(C)P(D)

so just multiply the given probabilities together,

P(A\cap B\cap C\cap D)=0.99^2\cdot0.94\cdot0.93\approx0.8568

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