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

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Math Expert
Joined: 02 Sep 2009
Posts: 58312
A jar contains 10 red marbles and 6 black marbles. If three marbles ar  [#permalink]

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11 Oct 2019, 02:20
00:00

Difficulty:

35% (medium)

Question Stats:

65% (01:51) correct 35% (02:53) wrong based on 20 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 ar  [#permalink]

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11 Oct 2019, 03:23
1
1
1-(6/16 × 5/15 × 4/14)=1-1/28= 27/28
Option E

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

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12 Oct 2019, 00:32
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

Probability of getting at least 1 red marble = 1 - Probability of getting 0 red marbles (or all 3 black marbles)
= $$1 - \frac{6}{16}*\frac{5}{15}*\frac{4}{14}$$
= $$1 - \frac{1}{28}$$
= $$\frac{27}{28}$$

IMO Option E
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Re: A jar contains 10 red marbles and 6 black marbles. If three marbles ar   [#permalink] 12 Oct 2019, 00:32
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