Suppose that two balanced dice, a red die and a green die, are rolled. Let Y denote opresents the number on the green die and R represents the wo balanced dice are rolled, 36 equally likely 15) Show all work for the following problem. 15) (25 pts) Suppose that two balanced dice, a red die and a green die an the sum G R where G represents the number on the number on the red die. (Hint: When two balanced dice are rolled, 36 outcomes are possible as shown in problem 2).

(1) Can Y=97 Yes or No If yes, please list all the possible outcom Y-9 and find the probability P(Y=9). list all the possible outcomes in the event
(2) What are the possible values of the random variable Y?

Check the explanation

Step-by-step explanation:

Y= G+R  G

R  1  2  3  4  5  6

1  2  3  4  5  6  7

2  3  4  5  6  7  8

3  4  5  6  7  8  9

4  5  6  7  8  9  10

5  6  7  8  9  10  11

6  7  8  9  10  11  12

Yes Y can be = 9

((6,3),(5,4),(4,5),(3,6)) are the cases or events.

probability = 4/36=1/9=0.1111

2)

The possible values y are y={1,2,3,4,...,12}

kindly check the attached image below for a more understandable table presentation:

1. Yes.

Possible outcome for event Y is:

{(3,6), (4,5), (5,4), (6,3)}

P(Y=9) = 1/9

2. {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

Step-by-step explanation:

An image is attached showing the step by step solution

really really sorry if i'm

-12 -5(x + 4) = 3x

-12 - 5x - 20 = 3x

-12 - 20 - 5x = 3x

-32 - 5x = 3x

    + 5x   + 5x

-32 = 8x

8         8

- 4= x