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07 Aug 2018, 03:59
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
73% (01:17) correct
27%
(01:40)
wrong
based on 483
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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
A. 1/900
B. 1/870
C. 1/210
D. 1/29
E. 1/28
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 \(: \frac{30}{30} * \frac{1}{29}=\frac{1}{29}\)
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 \(: \frac{30}{30} * \frac{1}{29}=\frac{1}{29}\)
General Discussion
07 Aug 2018, 12:49
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Bunuel
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
