Josh keeps his socks and shirts in different drawers. He has twelve white, five blue, and seven black socks. He also has three white, five black, and two grey shirts. He pulled out a sock and a shirt in the dark. What are the chances that he will get a black sock and a grey shirt?

P(blk sk AND gy shr)=P(blk sk)*P(gy shr)=7 /578

P(gy shr)=2/34

P(blk sk)=7/34

blk=Black

sk=Sock

gy=Grey

shr=Shirt

i need the table so i can see

step-by-step explanation:

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!