Question

An article has 3 defects: minor aesthetic, major aesthetic and functional. Of the last 480 articles,...

An article has 3 defects: minor aesthetic, major aesthetic and functional. Of the last 480 articles, 51 have minor aesthetic defects, 20 major aesthetic defects and 12 functional defects.

Only 3 of the 480 present the three types of defect, while 75 show at least one of the aesthetic defects. 10 articles with major cosmetic defect and functional defect were identified, while there were 4 articles with minor cosmetic defect and functional defect.

Calculate the probability of:

a) Randomly select an item without defect

b) The probability of selecting an item with both types of aesthetic defects

c) If you select an item and it turns out to have a minor aesthetic defect, what is the probability that it also has a functional defect?

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