Question

Suppose there is a bag containing 5 red marbles ​(Upper R​), 5 pink marbles ​(Upper P​), 5 green marbles ​(Upper G​), and 5 black marbles ​(Upper B​). 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.II IP IV IB PI PP PV PB VI VP VV VB BI BP BV BBb. Make the probability distribution showing the probability of drawing0,1, and 2 pink marbles.Result Probability 0P 9/16 1P 3/8 2P 1/16

Answer 1

In the Explanation

Explanation:

(a)From the attached probability tree, the possible outcomes are:

RR,RP,RG,RB,PR,PP,PG,PB,GR,GP,GB,GG,BR,BP,BG,BB

(b)Probability Distribution of Drawing Pink Marbles

`\left|\begin{array}cResult&Probability\\----&----\\0&(9)/(16)\\----&---\\1& (3)/(8)\\----&---\\2&(1)/(16)\end{array}\right|`