Sam the squirrel monkey is a homebuilder. He is randomly choosing paint and siding colors for a house he is working on. The home
owner wants the paint and siding colors to match. If they do not match, Sam will have to redo the home which will be costly. Sam has 6 paint options: red, green, white, black, purple, and yellow. He has 3 siding options: red, green, and white.
If Sam chooses the same color for both the paint and siding, the homeowner will be happy, and Sam will earn $1000. If Sam chooses colors that aren’t the same, he will lose $100.
What is Sam’s expected value of painting and siding this house?
Round your answer to the nearest cent.
