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Jessica's laundry basket contains 15 different pairs of socks. If she reaches into the basket and pulls two socks at ran

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Jessica's laundry basket contains 15 different pairs of socks. If she reaches into the basket and pulls two socks at ran

by M7MBA » Wed Jun 24, 2020 6:27 am

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

[spoiler]OA=D[/spoiler]

Source: Veritas Prep
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Re: Jessica's laundry basket contains 15 different pairs of socks. If she reaches into the basket and pulls two socks at

by Jay@ManhattanReview » Thu Jun 25, 2020 9:44 pm
M7MBA wrote: ↑
Wed Jun 24, 2020 6:27 am
 Jessica's laundry basket contains 15 different pairs of socks. If she reaches into 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

[spoiler]OA=D[/spoiler]

Source: Veritas Prep
Given that there are 15 different pairs of socks, there are 15*2 = 30 different socks

After randomly picking one sock, we are left with 29 socks; out of these 29, only one would be paired with the already-picked sock. So the required probability = 1/29.

Correct answer: D

Hope this helps!

-Jay
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Re: Jessica's laundry basket contains 15 different pairs of socks. If she reaches into the basket and pulls two socks at

by Scott@TargetTestPrep » Thu Jul 02, 2020 3:29 pm
M7MBA wrote: ↑
Wed Jun 24, 2020 6:27 am
 Jessica's laundry basket contains 15 different pairs of socks. If she reaches into 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

[spoiler]OA=D[/spoiler]

Solution:

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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Founder and CEO
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