A factory has two production lines for microwave ovens, A and B. The probability that a microwave oven from line A will prove to be faulty when checked is 0.008. The probability that a microwave oven from line B will prove to be faulty is 0.012. Line A produces three times as many microwave ovens as line B.
Find the probability that a randomly selected microwave oven will prove to be faulty.
Probability A or B to be faulty = 0.008 x 0.012
Probability A or B to be faulty = 0.0096
Do I need to consider that Line A produces 3 times more than B??? Even knowing that the probability is 0.008 for the total production??
If a microwave oven is found to be faulty, find the probability that it was produced on line A.
Here i did -
P(not B) = P(A) or P(B) / P(B) = 0.00096 x 0.012 = 0.08