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A jar contains 10 red marbles and 6 black marbles. If three marbles

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Math Expert
Joined: 02 Sep 2009
Posts: 52296
A jar contains 10 red marbles and 6 black marbles. If three marbles  [#permalink]

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28 Jan 2018, 20:52
00:00

Difficulty:

35% (medium)

Question Stats:

79% (02:12) correct 21% (03:17) wrong based on 44 sessions

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A jar contains 10 red marbles and 6 black marbles. If three marbles are pulled from the jar one after another without replacing them back into the jar, what is the probability there will be at least one red marble among them?

A . 1/28

B. 15/128

C. 15/56

D. 113/128

E. 27/28

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Re: A jar contains 10 red marbles and 6 black marbles. If three marbles  [#permalink]

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28 Jan 2018, 21:04
C

The probability will be = 10/16*6/15*5/14 = 5/56

This can occur in three ways. Hence the total probability =3*5/56=15/56

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Joined: 08 Nov 2017
Posts: 13
Re: A jar contains 10 red marbles and 6 black marbles. If three marbles  [#permalink]

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28 Jan 2018, 21:15
I guess the answer is E)
If I am not wrong it is simply 1 minus probability of All Reds

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Joined: 26 Sep 2017
Posts: 97
Re: A jar contains 10 red marbles and 6 black marbles. If three marbles  [#permalink]

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29 Jan 2018, 09:24
Bunuel wrote:
A jar contains 10 red marbles and 6 black marbles. If three marbles are pulled from the jar one after another without replacing them back into the jar, what is the probability there will be at least one red marble among them?

A . 1/28

B. 15/128

C. 15/56

D. 113/128

E. 27/28

Probabilty of no red = 6/16 * 5/15 *4/14
= 3/84
So probabilty of atlst one red = 1 - 3/84
= 27/28
Option E...

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Re: A jar contains 10 red marbles and 6 black marbles. If three marbles &nbs [#permalink] 29 Jan 2018, 09:24
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