A bicycle factory runs two assembly lines A and B 97 of line

A bicycle factory runs two assembly lines, A and B. 97% of line A\'s products pass inspection and 96% 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 passed inspection and came off assembly line Upper B.

Solution

Probability that bike comes off line B is:   60/100=0.6

Probability that a bike from line B passes inspection is:96/100=0.96

So required probability is, p=0.6*0.96=0.576