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07 Aug 2018, 03:59
Kudos
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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:
70% (01:17) correct
30%
(01:41)
wrong
based on 461
sessions
History
Date
Time
Result
Not Attempted Yet
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
Kudos
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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
