can't we use total probability here:

P(defective) = P(A)*P(defective/A) + P(B)*P(defective/B)

P(defective) = P(A)*P(defective/A) + P(B)*P(defective/B)

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An article manufactured by a company consists of two independent parts *A* and *B*. In the process of manufacture of part A, 9 out of 100 are likely to be defective. Similarly in the process of manufacture of part *B*, 5 out of 100 are likely to be defective. The probability that the assembled article will be defective is ________. (Upto 3 decimal places)

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Probability of part A defective:- 9/100=0.09

Probability of part B is defective:- 0.05

....as we know that article is the combination of both part A and Part B.....

Assembled article would be defective in following cases...

1.part A is defective not B:- .09*0.95

2.part B is defective not A:- .05*0.91

3. Both are defective..:- .05*.09

sum all the cases

:-

Probability of part B is defective:- 0.05

....as we know that article is the combination of both part A and Part B.....

Assembled article would be defective in following cases...

1.part A is defective not B:- .09*0.95

2.part B is defective not A:- .05*0.91

3. Both are defective..:- .05*.09

sum all the cases

:-