[Static_11]

seven white socks and four black socks are in a bag
two socks are drawn at random without replacement.
what is the probability that they are the same color?
answer needs to be in a reduced fraction

[peterhuang913]

7/11*6/10+4/11*3/10

is that it?

[Static_11]

7= white socks
11= total number
6= white socks after 2 removed?
10 = total socks after 2 removed?
4= ??????

are you saying the answer is 3/10?
that whole thing confused me more than what i originally am lol

[Static_11]

this is worth anywhere from 10-100 points. needs to be done tommorow. any help at all?

[mssssee2]

I got confused, probably because it's the first problem I am trying to solve in English anyway. I did not comprehend the exact purpose of the exercise so I solved it finding if the redrawn become the same color.

As I understood 2 of the 11 socks get redrawn,

Remove 2 from total socks

We don't know which socks are redrawn

Guesses :
a) 1 black sock and 1 white removed
b) 2 black socks removed
c) 2 white socks removed

A) 6/11 probabillity white and 3/11 probabillity to be black

B) 7/11 probabillity white and 2/11 probabillity to be black

C) 5/11 probabillity white and 4/11 probabillity to be black

This means that the total probabillity for white would be (6/11 + 7/11 + 5/11)/3 and the total probabillity for black would be (3/11 + 2/11 + 4/11)/3

18/3/11 = 6/11 for white
9/3/11 = 3/11 for black

54,54% for white &
27,27% for black

The results seem sensible to me, hope it helped anyway.

P.S. Have schoold already opened in US? In Greece Schools open 9/11 (M/D)

[Static_11]

yeah schools have started.
thanks for the problem dude but i talked to someone about the first reply and finally understood it

[(7/11)(6/10)] + [(4/11)(3/10)]

[peterhuang913]

I thought it was pretty easy to undersand