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Mathematics 21 Online
OpenStudy (anonymous):

A bicycle factory runs 2 assembly lines, A and B. 97% of line A's products pass inspection and 89% of line B's products pass inspection. 60% of the factory's bikes come off assembly line B and the rest come off line A. Find the probability that one of the factory's bikes did not pass inspection and came off assembly line B.

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

one sec, I'm drawing out a tree

OpenStudy (anonymous):

okay :)

jimthompson5910 (jim_thompson5910):

|dw:1407643500225:dw|

jimthompson5910 (jim_thompson5910):

|dw:1407643563097:dw|

jimthompson5910 (jim_thompson5910):

the 3% is from the fact that 100% - 97% = 3% the 11% is from the fact that 100% - 89% = 11%

jimthompson5910 (jim_thompson5910):

if we want a bike that is both bike B and it fails inspection, then we focus on this path |dw:1407643643741:dw|

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