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16 Jul 2021, 09:12
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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:
5%
(low)
Question Stats:
89% (01:28) correct
11%
(01:50)
wrong
based on 85
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In a drawer there are 4 white socks, 3 blue socks and 5 grey socks. Two socks are picked randomly. What is the possibility that both the socks are of same color?
A. 1
B. 17/21
C. 13/17
D. 19/66
E. 1/2
A. 1
B. 17/21
C. 13/17
D. 19/66
E. 1/2
17 Jul 2021, 03:30
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Total ways of selecting 2 socks out of 4+3+5 or 12 socks is \(12C2=\frac{12*11}{2}=66\)
Ways to select 2 of same colours = 4C2+3C2+5C2=6+3+10=19.
\(P=\frac{19}{66}\)
D
18 Jul 2021, 08:49
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Total socks: 4 + 3 + 5 = 12
Two picked: \(^{12}{C_2} = 66\)
Both white: \(^4{C_2} = 6\)
Both blue: \(^3{C_2} = 3\)
Both grey: \(^5{C_2} = 10\)
Possibility of same color: \(\frac{6 + 3 + 10 }{ 66} = \frac{19}{66}\)
Answer D
Two picked: \(^{12}{C_2} = 66\)
Both white: \(^4{C_2} = 6\)
Both blue: \(^3{C_2} = 3\)
Both grey: \(^5{C_2} = 10\)
Possibility of same color: \(\frac{6 + 3 + 10 }{ 66} = \frac{19}{66}\)
Answer D
