Game 2: Dice Roll

Use this game for questions5-7.

For this game, you must roll two dice at the same time and observe the sum of the pips on top.

The cost to play the game is $12. The payouts are given below:

Event: Dice Roll Sum	Payouts
2	$72
3	$36
4	$18
5	$9
6	0
7	0
8	0
9	$9
10	$18
11	$36
12	$72

- Question 5

Game 2: Dice Roll

Complete the following probability distribution table.

For probability, express your answer as asimplified fraction.

Event: Dice Roll Sum	Number of Ways	Probability	Payouts
2			$72
3			$36
4			$18
5			$9
6			0
7			0
8			0
9			$9
10			$18
11			$36
12			$72

- Question 6

Game 2: Dice Roll

Which of the following is the game's expected value to the player? (Remember that it costs $12 to play)

Group of answer choices

$1.00

$4.50

$0.50

$13.00

- Question 7

Game 2: Dice Roll

Which of the following adjustments to the game would make the game fair?

Selectallthat apply.

Group of answer choices

Increase the cost to play by $1

Remove the payout for rolling a 5

Remove the payout for rolling a 9

Decrease the cost to play by $2

Include a payout of $6 for rolling a 7