You roll one red die and one black die Both dice have 6 side

You roll one red die and one black die. Both dice have 6 sides. You\'ll win 3 dollars times the number of dots rolled on the red die, and lose 4 dollars times the number of dots rolled on the black die. What is the expected value of your net winnings, i.e., winnings and losses considered together?

The expected value per roll is -$3.50

Result	Red Die	Black Die	Expected Value
1	$3	($4)	($1)
2	$6	($8)	($2)
3	$9	($12)	($3)
4	$12	($16)	($4)
5	$15	($20)	($5)
6	$18	($24)	($6)
			($21)	Total EV
			($3.50)	Per die face

$You roll one red die and one black die. Both dice have 6 sides. You\'ll win 3 dollars times the number of dots rolled on the red die, and lose 4 dollars times t$

You roll one red die and one black die Both dice have 6 side

Solution

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