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# A bag contains 6 red chips numbered 1 through 6, respectively, and 6 b

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Math Expert
Joined: 02 Sep 2009
Posts: 57155
A bag contains 6 red chips numbered 1 through 6, respectively, and 6 b  [#permalink]

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17 Dec 2018, 01:05
1
2
00:00

Difficulty:

55% (hard)

Question Stats:

55% (01:39) correct 45% (01:33) wrong based on 46 sessions

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A bag contains 6 red chips numbered 1 through 6, respectively, and 6 blue chips numbered 1 through 6, respectively. If 2 chips are to be picked sequentially from the bag of 12 chips, without replacement, what is the probability of picking a red chip and then a blue chip with the same number?

A. 1/36
B. 1/22
C. 1/11
D. 1/2
E. 6/11

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A bag contains 6 red chips numbered 1 through 6, respectively, and 6 b  [#permalink]

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Updated on: 17 Dec 2018, 02:42
1
Bunuel wrote:
A bag contains 6 red chips numbered 1 through 6, respectively, and 6 blue chips numbered 1 through 6, respectively. If 2 chips are to be picked sequentially from the bag of 12 chips, without replacement, what is the probability of picking a red chip and then a blue chip with the same number?

A. 1/36
B. 1/22
C. 1/11
D. 1/2
E. 6/11

P of a no from red chips : 6/12 and of blue is also 1/6
6/12 * 1/11 = 1/22 IMO B
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Originally posted by Archit3110 on 17 Dec 2018, 02:21.
Last edited by Archit3110 on 17 Dec 2018, 02:42, edited 1 time in total.
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Re: A bag contains 6 red chips numbered 1 through 6, respectively, and 6 b  [#permalink]

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17 Dec 2018, 02:26
Probability of red chip = 6/12=1/2
Probability of blue chip with the same number = 1/11
P=1/2*1/11=1/22

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Joined: 17 Dec 2018
Posts: 21
A bag contains 6 red chips numbered 1 through 6, respectively, and 6 b  [#permalink]

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03 Jan 2019, 09:29
First draw red: 6/12
2nd draw blue and same #: 1/11
(6/12)*(1/11)= 1/22
Imo B is the OA

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Joined: 26 Dec 2018
Posts: 142
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A bag contains 6 red chips numbered 1 through 6, respectively, and 6 b  [#permalink]

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03 Jan 2019, 09:37
Total Chips = 12
Probability of picking a red chip and then a blue chip with the same number Without Replacement?
Probability of picking a red chip = 6 /12 (Any Red chip out of 6 Red Chips can be picked from the bag of 12 chips)
Probability of picking a blue chip with the same number Without Replacement = 1 /11 (Blue chip of the same number as that of Red chip can be 1 from the bag of 11 remaining chips)

Therefore,
Probability of picking a red chip and then a blue chip with the same number Without Replacement = (6 /12) * (1/11) = 1/22
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A bag contains 6 red chips numbered 1 through 6, respectively, and 6 b   [#permalink] 03 Jan 2019, 09:37
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