SOLUTION: A box contains 35 components, of which 10 are defective. A set of 6 components are
selected at random
(i) Calculate the probability that all the components chosen are def
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selected at random
(i) Calculate the probability that all the components chosen are def
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Question 702793: A box contains 35 components, of which 10 are defective. A set of 6 components are
selected at random
(i) Calculate the probability that all the components chosen are defective.
(ii) Calculate the probability that half are defective and half are not. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A box contains 35 components, of which 10 are defective. A set of 6 components are selected at random
(i) Calculate the probability that all the components
chosen are defective.
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# of ways to get 6 defective : 10C6
# of random number of sets of 6: 35C6
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P(set of 6 defective) = 10C6/35C6 = 0.0001294
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(ii) Calculate the probability that half are defective and half are not.
# of ways to get 3 defective and 3 not-defective: 10C3*25C3
# of sets of 6: 35C6
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P(3defect and 3not) = (10C3*25C3)/35C6 = 0.1700
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Cheers,
Stan H.
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