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

Question

asked Nov 22, 2020 232k views

1 Answer

Bibamann · Answer 1 · 2020-11-28T12:20:56+0000

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,

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