Please show me step by step instructions on how to solve thisproblem. 4 items ar

Question

Please show me step by step instructions on how to solve thisproblem. 4 items are selected at random from a total of 53. 18 of theitems are broken and 35 are inperfect condition. What is theprobability at least one of the selected items is defective. Please show me step by step instructions on how to solve thisproblem. 4 items are selected at random from a total of 53. 18 of theitems are broken and 35 are inperfect condition. What is theprobability at least one of the selected items is defective.

Explanation / Answer

probablity for selecting atleast one defective this means there can be more than one defective also so, probability = Prob(one defective ) + Prob( two defective ) + Prob( threedefective ) + Prob ( 4 defective) = (18 C1 x 35C3 + 18C2 x 35C2 + 18C3 x 35C1 + 18C4)/53C4 = (117810 + 91035 + 28560 + 3060)/53C4 = (240465)/53C4 = 41/50

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