Your office is having a Secret Santa gift exchange. Instead of participating, your obnoxious coworker Steve wants to play a game. He's brought in three wrapped boxes, one of which has a $100 gift card while the other two boxes are empty. THIS QUESTION HAS TWO PARTS. ANSWER BOTH PARTS BELOW TO GET FULL CREDIT. CLEARLY LABEL YOUR ANSWERS FOR FULL CREDIT a) Steve says if you give him $50, he'll let you pick one of the boxes. It is worth it? Explain (using some math, ideally a relevant concept we covered this semester). b) Alternately, Steve says you can give him $50 to pick one of the boxes, and if you don't get the gift card you can give him another $30 to pick one of the two remaining boxes. Is the game worth it? Explain (again, using some relevant math).