Question

I have 5 blue socks, 3 red socks, 4 green socks. I take two socks from the drawer. How do you list all the possible outcomes for the two socks?

Answer 1

`B,B=20/132,R,R= 6/132 , G,G=12/132, B &G = 40/132 , B & R =30/132, R & G = 24/132`

Explanation:

Blue:`B`, Red: `R` , Green: `G`
`B=5, R=3, G=4 ; T=(5+3+4)=12`

Probability:Blue -first
`B,B = 5/12*4/11=20/132`
`B,R = 5/12*3/11=15/132`
`B,G = 5/12*4/11=20/132`
Red -first
`R,R = 3/12*2/11=6/132`
`R,B = 3/12*5/11=15/132`
`R,G = 3/12*4/11=12/132`
Green -first
`G,G = 4/12*3/11=12/132`
`G,B = 4/12*5/11=20/132`
`G,R = 4/12*3/11=12/132`