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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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by M7MBA » Wed Jun 24, 2020 6:27 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty—

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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