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Data Sufficiency (DS) | Re: A nut is to be selected at random from a certain bowl that contains

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houston1980 wrote:

A nut is to be selected at random from a certain bowl that contains only three kinds of nuts: cashews, almonds, and walnuts.
What is the probability that the nut selected will be a cashew?

(1)The total number of cashews and walnuts in the bowl is 140.

(2)The number of cashews in the bowl is 5 times the total number of almonds and walnuts in thebowl.


We need to answer the question:

P(cashew) = favorable/total = c/(c + a + w) =?

Statement OneAlone:

=> The total number of cashews and walnuts in the bowl is 140.

w = 140 – c

c/(c + a + 140 - c) = c/(a + 140) = ?

Clearly, we don’t have enough information to get a unique value. Statement one is not sufficient. Eliminate answer choices A andD.

Statement TwoAlone:

=> The number of cashews in the bowl is 5 times the total number of almonds and walnuts in the bowl.

5(a +w)/[6(a + w)] = 5/6

Statement two issufficient.

Answer:B
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Statistics : Posted by JeffTargetTestPrep • on 01 Jul 2023, 09:20 • Replies 2 • Views 187



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