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A wooden box contains exactly 12 nuts and 24 bolts. One-third of the bolts and one-third of the nuts are defective. If two items are picked from the box up one after the other without replacement, what is the probability that neither item is defective?
  • a)
    45/106
  • b)
    23/135
  • c)
    46/105
  • d)
    89/135
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A wooden box contains exactly 12 nuts and 24 bolts. One-third of the b...
Out of 12 nuts, 4 are defective while out of 24 bolts, 8 are defective.
So, there are 12 defective items and 24 non-defective items.
So, the probability that both items are non-defective (when picked without replacement one after the other)
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Most Upvoted Answer
A wooden box contains exactly 12 nuts and 24 bolts. One-third of the b...
Out of 12 nuts, 4 are defective while out of 24 bolts, 8 are defective.
So, there are 12 defective items and 24 non-defective items.
So, the probability that both items are non-defective (when picked without replacement one after the other)
Free Test
Community Answer
A wooden box contains exactly 12 nuts and 24 bolts. One-third of the b...
Out of 12 nuts, 4 are defective while out of 24 bolts, 8 are defective.
So, there are 12 defective items and 24 non-defective items.
So, the probability that both items are non-defective (when picked without replacement one after the other)
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A wooden box contains exactly 12 nuts and 24 bolts. One-third of the bolts and one-third of the nuts are defective. If two items are picked from the box up one after the other without replacement, what is the probability that neither item is defective?a)45/106b)23/135c)46/105d)89/135e)None of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
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