You roll a standard die. You win $12 if you roll a six, $6 if you roll a one, and $0 if you roll anything else. What is the expected value of a single roll? $3
$2
$9
$18

The expected value from a single die roll Given the Conditions stated is $3

The expected value is calculated using the relation :

The table of probabilities from a single roll :

The expected value calculation :

Therefore, the expected value of a single die roll is $3

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solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system