anonymous
  • anonymous
A man has five pairs of socks (no two pairs are the same color). If he randomly selects two socks from a drawer, what is the probability that he gets a matching pair?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
1/2 chances or 5/10
anonymous
  • anonymous
The answer in the book says 1/9...
anonymous
  • anonymous
i never said it was gonna be right there was a half chance i was wrong

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anonymous
  • anonymous
I'm not trying to show that you're wrong... I just wanted to see if someone could explain this question to me. Because math is hard. And I have a test on probablility tomorrow.
anonymous
  • anonymous
k there's 5 there it's an uneven number which means if u tryed to pair them all up 1 would be left behind
anonymous
  • anonymous
lik if u got rid of that 1 sock and did 4x2 =8+1=9
anonymous
  • anonymous
there's ur denominator
anonymous
  • anonymous
he picks one sock it is some color
anonymous
  • anonymous
then there are 9 socks left in the drawer, and only one has the same color as the sock he picked originally
anonymous
  • anonymous
exactly it never said they were the same colors
anonymous
  • anonymous
so the probability that the next sock he picks has the same color is \(\frac{1}{9}\)
anonymous
  • anonymous
it is easier to think about it if you imagine picking one at a time instead of two at once
anonymous
  • anonymous
we can also solve with thinking of picking two at once the number of ways he can pick the two socks out of the total of ten socks is \[\dbinom{10}{2}=\frac{10\times 9}{2}=5\times 9=45\] of those 45 ways, 5 of them are pairs that match, so you get the probability as \[\frac{5}{45}=\frac{1}{9}\]
anonymous
  • anonymous
i think the first way is easier to envision, but it is a matter of taste i suppose

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