Suppose there is a bag containing 15

15 red

red marbles (Upper R

R), 15

15 white

white marbles (Upper W

W), 15

15 green

green marbles (Upper G

G), and 15

15 indigo

indigo marbles (Upper I

I). Someone mixes the marblesthoroughly, draws one marble atrandom, puts the marble back in thebag, mixes the bagthoroughly, and draws another marble at random. Complete parts(a) and(b) below.

a. List all possible outcomes of this process. Choose the correct answer below.

A.

Upper R

RUpper R

R, Upper R

RUpper W

W, Upper R

RUpper G

G, Upper R

RUpper I

I, Upper W

WUpper R

R, Upper W

WUpper W

W, Upper W

WUpper G

G, Upper W

WUpper I

I, Upper G

GUpper R

R, Upper G

GUpper W

W, Upper G

GUpper G

G, Upper G

GUpper I

I, Upper I

IUpper R

R, Upper I

IUpper W

W, Upper I

IUpper G

G, Upper I

IUpper I

I

B.

Upper R

RUpper R

R, Upper R

RUpper W

W, Upper R

RUpper G

G, Upper R

RUpper I

I, Upper W

WUpper W

W, Upper W

WUpper G

G, Upper W

WUpper I

I, Upper G

GUpper G

G, Upper G

GUpper I

I, Upper I

IUpper I

I

C.

Upper R

RUpper W

W, Upper R

RUpper G

G, Upper R

RUpper I

I, Upper W

WUpper G

G, Upper W

WUpper I

I, Upper G

GUpper I

I

D.

Upper R

R, Upper W

W, Upper G

G, Upper I

I

b. Make the probability distribution showing the probability of drawing0, 1, and 2 white

white marbles.

Result

Probability

0 Upper W

W

nothing

1 Upper W

W

nothing

2 Upper W

W

nothing

(Simplify youranswers.)