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A drawer contains 6 socks. Two socks are randomly selected without rep
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19 Apr 2022, 01:47
19 Apr 2022, 01:47
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Question Stats:
42% (02:27) correct
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A drawer contains 6 socks. Two socks are randomly selected without replacement. The probability is greater than 0.4 that both socks will be white.
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
The probability that both socks will be black |
1/6 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Re: A drawer contains 6 socks. Two socks are randomly selected without rep
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05 May 2022, 22:36
05 May 2022, 22:36
Expert Reply
Re: A drawer contains 6 socks. Two socks are randomly selected without rep
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21 May 2022, 13:15
21 May 2022, 13:15
1
Total: 6 socks.
Get 2 white socks probability without replacement: [(x)/6]*[(x-1)/5]=0.4
Equation: x^2-x-12=0
(x-4)(x+3)=0
x must be positive so the answer it 4.
So there are 4 white socks and another 2 socks (assuming black, not mentioned in the question, so if not black, the answer will be D).
If there are 4 white and 2 black socks. The probability to get 2 black socks is: (1/6)*(1/5) = 1/30.
The answer is B.
Get 2 white socks probability without replacement: [(x)/6]*[(x-1)/5]=0.4
Equation: x^2-x-12=0
(x-4)(x+3)=0
x must be positive so the answer it 4.
So there are 4 white socks and another 2 socks (assuming black, not mentioned in the question, so if not black, the answer will be D).
If there are 4 white and 2 black socks. The probability to get 2 black socks is: (1/6)*(1/5) = 1/30.
The answer is B.
