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mathishard2
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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?
 one year ago
 one year ago
mathishard2 Group Title
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?
 one year ago
 one year ago

This Question is Open

izzy56658989 Group TitleBest ResponseYou've already chosen the best response.0
1/2 chances or 5/10
 one year ago

mathishard2 Group TitleBest ResponseYou've already chosen the best response.0
The answer in the book says 1/9...
 one year ago

izzy56658989 Group TitleBest ResponseYou've already chosen the best response.0
i never said it was gonna be right there was a half chance i was wrong
 one year ago

mathishard2 Group TitleBest ResponseYou've already chosen the best response.0
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.
 one year ago

izzy56658989 Group TitleBest ResponseYou've already chosen the best response.0
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
 one year ago

izzy56658989 Group TitleBest ResponseYou've already chosen the best response.0
lik if u got rid of that 1 sock and did 4x2 =8+1=9
 one year ago

izzy56658989 Group TitleBest ResponseYou've already chosen the best response.0
there's ur denominator
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
he picks one sock it is some color
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
then there are 9 socks left in the drawer, and only one has the same color as the sock he picked originally
 one year ago

izzy56658989 Group TitleBest ResponseYou've already chosen the best response.0
exactly it never said they were the same colors
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
so the probability that the next sock he picks has the same color is \(\frac{1}{9}\)
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
it is easier to think about it if you imagine picking one at a time instead of two at once
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
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 \[\frac{5}{45}=\frac{1}{9}\]
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
i think the first way is easier to envision, but it is a matter of taste i suppose
 one year ago
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