Adrawer contains 2 red 3 white socks and 3 blue socks without looking you draw out sock return it and draw out a second sock what is the probability that the frist sock is blue and the second sock is red

3/8 That the first sock is blue, 2/8 that the second sock is red

Step-by-step explanation:

The Drawer contains

2 Red Socks

3 White Socks

3 Blue Socks

2 + 3 + 3 = 8

There are a total of 8 socks in the drawer

The Probability of Picking a :

Red Sock is 2/8

Blue Sock is 3/8

White Sock is 3/8

Therefore the Probability that the first sock is blue is 3/8

However the question states that the sock is returned

Therefore the Probability that the second sock will be Red is 2/8

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

step-by-step explanation:

milk=16 large

soda=280 kids

juice box=82 regular

63 soda +63 regular

124 large total