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User's self-made question

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Joined: 14 Jul 2019
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Location: United States
Concentration: Accounting, Finance
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User's self-made question  [#permalink]

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New post 23 Oct 2019, 16:16
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You are given two boxes, each with an equal number of marbles. All of the marbles are red or white. Are you more likely to draw a red marble at random from Box 1 or from Box 2?

Statement 1: Two-thirds of all the marbles are red.

Statement 2: Half the marbles in Box 2 are red.
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Re: User's self-made question  [#permalink]

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New post 23 Oct 2019, 19:50
We know that total marbles in two boxes are equal
there total marbles are 2x
Statement 1: Two-thirds of all the marbles are red.
not sufficient as we dont know how many marbles are in what box
let total be 6 then one we do not know which box has more red or more black.
Statement 2: Half the marbles in Box 2 are red.
no sufficient as we dont know about the other. It could be more less or equal

combine it says 2/3 of total = red
let total be 12
thus red = 8 and black = 4
half in box 2 = are red . hnec 3 inn box 2 are red
thus other bx has 5.
hence Box 1 has a higher probability f rawing red
C is sufficient
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Re: User's self-made question   [#permalink] 23 Oct 2019, 19:50
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