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Jessica's laundry basket contains 15 different pairs of socks. If she

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Jessica's laundry basket contains 15 different pairs of socks. If she  [#permalink]

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New post 07 Aug 2018, 02:59
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Question Stats:

72% (00:44) correct 28% (01:16) wrong based on 104 sessions

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Jessica's laundry basket contains 15 different pairs of socks. If she reaches in to the basket and pulls two socks at random, what is the probability that she pulls out a matching pair?


A. 1/900
B. 1/870
C. 1/210
D. 1/29
E. 1/28

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Re: Jessica's laundry basket contains 15 different pairs of socks. If she  [#permalink]

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New post 07 Aug 2018, 03:37
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OA: D

Total socks \(: 2*15 = 30\)
1st Pick : Probability of picking any one sock out of \(30\) socks =\(\frac{30}{30}\)
2nd Pick : Probability of picking another sock of same pair as picked in 1st Pick =\(\frac{1}{29}\)
Final probability \(: \frac{30}{30} * \frac{1}{29}=\frac{1}{29}\)
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Re: Jessica's laundry basket contains 15 different pairs of socks. If she  [#permalink]

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New post 07 Aug 2018, 11:49
1
Bunuel wrote:
Jessica's laundry basket contains 15 different pairs of socks. If she reaches in to the basket and pulls two socks at random, what is the probability that she pulls out a matching pair?


A. 1/900
B. 1/870
C. 1/210
D. 1/29
E. 1/28



number of ways she can pull two socks of the same colour = 15 ways
no of ways she can pull two socks of any colour = 30c2
probability= 15/30c2 = 15/15*29=1/29
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Jessica's laundry basket contains 15 different pairs of socks. If she  [#permalink]

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New post 10 Sep 2018, 05:18
CounterSniper wrote:
Bunuel wrote:
Jessica's laundry basket contains 15 different pairs of socks. If she reaches in to the basket and pulls two socks at random, what is the probability that she pulls out a matching pair?


A. 1/900
B. 1/870
C. 1/210
D. 1/29
E. 1/28



number of ways she can pull two socks of the same colour = 15 ways
no of ways she can pull two socks of any colour = 30c2
probability= 15/30c2 = 15/15*29=1/29


Hi CounterSniper

You have used two different techniques for solving almost the same question,and arrived at different answers could you care to explain both questions using the same method?

https://gmatclub.com/forum/5-pairs-of-s ... 74309.html

Actually answer should be 2/9 for the question in the link above , but sadly that is not among the options.
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Jessica's laundry basket contains 15 different pairs of socks. If she  [#permalink]

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New post 10 Sep 2018, 05:43
stne wrote:
CounterSniper wrote:
Bunuel wrote:
Jessica's laundry basket contains 15 different pairs of socks. If she reaches in to the basket and pulls two socks at random, what is the probability that she pulls out a matching pair?


A. 1/900
B. 1/870
C. 1/210
D. 1/29
E. 1/28



number of ways she can pull two socks of the same colour = 15 ways
no of ways she can pull two socks of any colour = 30c2
probability= 15/30c2 = 15/15*29=1/29


Hi CounterSniper

You have used two different techniques for solving almost the same question,and arrived at different answers could you care to explain both questions using the same method?

https://gmatclub.com/forum/5-pairs-of-s ... 74309.html

Actually answer should be 2/9 for the question in the link above , but sadly that is not among the options.


Hi stne
consider below

the first sock can be picked in 30 ways (we have a total of 30 socks)
the second one can be picked in only one way (why ? because we have already picked a sock of a given pair and we have to pick the same one the second time)

p(first sock) = 30/30=1
p(second sock) = 1/29

required probability = 1/29

I have also posted an explanation on the thread you have mentioned above
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Jessica's laundry basket contains 15 different pairs of socks. If she &nbs [#permalink] 10 Sep 2018, 05:43
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