Out of 8 items that have arrived, one is defective. A worker picks these parts one by one. What is the probability that the third is defective given that the first two are not
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Given :- Out of 8 items that have arrived, one is defective. A worker picks these parts one by one. What is the probability that the third is defective given that the first two are not ?
Solution :-
we have,
→ Total items arrived = 8 .
→ No. of defective item = 1 .
now, given that,
- first 2 packed items are not defective .
then,
→ Items left to be packed = 8 - 2 = 6 items.
and,
→ Defective item is = 1 .
therefore,
→ Probability that the 3rd item is defective = (No. of Defective item) / (Items left to be packed) = (1/6) (Ans.)
Hence, probability that the third is defective will be (1/6).
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