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

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Bunuel
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Jessica's laundry basket contains 15 different pairs of socks. If she [#permalink] New post   07 Aug 2018, 03:59
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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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Princ
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Re: Jessica's laundry basket contains 15 different pairs of socks. If she [#permalink] New post   07 Aug 2018, 04:37
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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] New post   07 Aug 2018, 12:49
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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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stne
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Jessica's laundry basket contains 15 different pairs of socks. If she [#permalink] New post   10 Sep 2018, 06:18
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] New post   10 Sep 2018, 06:43
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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Re: Jessica's laundry basket contains 15 different pairs of socks. If she [#permalink] New post   18 Mar 2020, 16:33
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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


The first sock can be any sock. For the second sock, there is only 1 out of the remaining 29 socks that can match the first sock. Therefore, the probability of pulling out two socks that are a matching pair is 1/29.

Answer: D
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Re: Jessica's laundry basket contains 15 different pairs of socks. If she [#permalink] New post   07 Jun 2020, 11:15
It's actually really easy to solve, appreciated this task)
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Re: Jessica's laundry basket contains 15 different pairs of socks. If she [#permalink] New post   03 Aug 2023, 05:56
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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