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You have 7 pairs of socks in the dryer. Only one pair is black. You randomly choose two of the socks. What is the probability that you got both of the black socks?

Respuesta :

noamuk
7x2 = 14, that is the total amount of socks. The first probability would be 2/14. If I got one black sock then the next probability would be 1/13. Then you would times the two fractions together. 2/14 x 1/13 = 2/182 = 1/91

The probability that you got both of the black socks is [tex]\frac{1}{91}[/tex]

Given that,

  • You have 7 pairs of socks in the dryer.
  • Only one pair is black.

Based on the above information, the calculation is as follows:

The total amount of socks should be

= 7(2)

= 14

Now the first probability should be [tex]2 \div 14[/tex]

Now if one black sock should be received so the next probability should be [tex]1 \div 13[/tex].

Now for both socks, it should be

[tex]= 2\div 14 \times 1\div13 \\\\= 2\div 182 \\\\= 1\div 91[/tex]

Therefore we can conclude that the probability that you got both of the black socks is [tex]\frac{1}{91}[/tex]

Learn more: brainly.com/question/11234923

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