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There are some chairs and some tables in a shop. Some are wooden while other are steel made. If two items are picked up at random without replacement then find the probability that both are wooden. Statement I: There are total 42 chairs and 30 tables in the shop. Statement II: 24 items are not wooden in the shop which is 1/3rd of the total items in the shop. 

There are some chairs and some tables in a shop. Some are wooden while other are steel made. If two items are picked up at random without replacement then find the probability that both are wooden. Statement I: There are total 42 chairs and 30 tables in the shop. Statement II: 24 items are not wooden in the shop which is 1/3rd of the total items in the shop.  Correct Answer Statement II alone is sufficient to answer the question.

Statement II:

24 items are not wooden in the shop which is 1/3rd of the total items in the shop;

Total steel made items = 24

Total items = 24 × 3 = 72

Total wooden items = 72 – 24 = 48

Two items are picked up at random without replacement

Probability that both are wooden = 48C2/72C2

⇒ (48 × 47)/(72 × 71)

⇒ 94/213

Nothing can be interpreted from the statement I.

∴ Statement II alone is sufficient to answer the question.

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