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A sample of 4 iPods is selected from a shipment of 20 iPods there are 5 defective iPods in the shipment what is the probablity that the sample does not contain any defective iPods?

Updated: 9/16/2023

Wiki User

14y ago

i dont get it?

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The probability that the first iPod you select is not defective is 16/20. If you selected a non-defective iPod the first time, there are now 15 non-defective iPods out of 19 remaining. So, the odds that the second you selected is non-defective is 15/19. By similar reasoning, the probability that the third is non-defective (given that the first two weren't defective) is 14/18, and for the fourth iPod, it is 13/17. So the probability that none of the four iPods you selected are defective is:

(16/20)*(15/19)*(14/18)*(13/17)=364/969, or approximately 37.6%

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14y ago

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Q: A sample of 4 iPods is selected from a shipment of 20 iPods there are 5 defective iPods in the shipment what is the probablity that the sample does not contain any defective iPods?
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