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mathishard2
 2 years ago
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?
mathishard2
 2 years ago
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?

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izzy56658989
 2 years ago
Best ResponseYou've already chosen the best response.01/2 chances or 5/10

mathishard2
 2 years ago
Best ResponseYou've already chosen the best response.0The answer in the book says 1/9...

izzy56658989
 2 years ago
Best ResponseYou've already chosen the best response.0i never said it was gonna be right there was a half chance i was wrong

mathishard2
 2 years ago
Best ResponseYou've already chosen the best response.0I'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.

izzy56658989
 2 years ago
Best ResponseYou've already chosen the best response.0k there's 5 there it's an uneven number which means if u tryed to pair them all up 1 would be left behind

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

izzy56658989
 2 years ago
Best ResponseYou've already chosen the best response.0there's ur denominator

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

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

izzy56658989
 2 years ago
Best ResponseYou've already chosen the best response.0exactly it never said they were the same colors

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

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

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2we 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 \[\frac{5}{45}=\frac{1}{9}\]

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