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# In a box of 5 eggs, 2 are rotten

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In a box of 5 eggs, 2 are rotten [#permalink]  07 May 2019, 02:11
Expert's post
00:00

Question Stats:

82% (00:51) correct 17% (00:12) wrong based on 34 sessions
In a box of 5 eggs, 2 are rotten

 Quantity A Quantity B The probability that one egg chosen at random from the box is rotten The probability that two eggs chosen at random from the box are rotten

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Joined: 10 Apr 2015
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Kudos [?]: 3700 [2] , given: 62

Re: In a box of 5 eggs, 2 are rotten [#permalink]  07 May 2019, 06:04
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Expert's post
Carcass wrote:
In a box of 5 eggs, 2 are rotten

 Quantity A Quantity B The probability that one egg chosen at random from the box is rotten The probability that two eggs chosen at random from the box are rotten

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

QUANTITY A
2 of the 5 eggs are rotten
So, P(1 egg is rotten) = 2/5 = 0.4

QUANTITY B
P(2 eggs are rotten) = P(1st egg is rotten AND 2nd egg is rotten)
= P(1st egg is rotten) x P(2nd egg is rotten)
= 2/5 x 1/4 = 1/10 = 0.1

Cheers,
Brent
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Re: In a box of 5 eggs, 2 are rotten   [#permalink] 07 May 2019, 06:04
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