Question

Suppose there is a bag containing 20 white marbles ​(Upper W​), 20 red marbles ​(Upper R​), 20 yellow marbles ​(Upper Y​), and 20 green marbles ​(Upper G​). Someone mixes the marbles​ thoroughly, draws one marble at​ random, puts the marble back in the​ bag, mixes the bag​ thoroughly, 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.

Answer 1

Answer:

WW WI WB WR IW II IB IR BW BI BB BR RW RI RB RR

Step-by-step explanation:

Answer 2

Answer:

The total possible outcomes are

WW, RR, YY, GG. WR, WY, WG. GW, GR,GY, RW, RY,RG, YW, YR,YG

Step-by-step explanation:

Given

20 White Marbles

20 Red Marbles

20 Yellow Marbles

20 Green Marbles

Event that someone picks 2 marbles (1 at a time) with replacement

Required

List all possible outcomes of this process

Follow the steps below:

Step 1: Provided that the person replaces the marbles after making a selection. The possible outcome is as follows

1. The person picks marble of the same color;

The outcomes are

WW, RR, YY, GG

2. The person did not pick marble of the same color;

This is subdivided to

The person picks the white marble first

WR, WY, WG

The person picks the green marble first

GW, GR,GY

The person picks the red marble first

RW, RY,RG

The person picks the yellow marble first

YW, YR,YG

The total possible outcomes are

WW, RR, YY, GG. WR, WY, WG. GW, GR,GY, RW, RY,RG, YW, YR,YG