You need to borrow money for gas, so you ask your mother and your sister. You can only borrow money from one of them. Before giving you money, they each say they will make you play a game.

Your sister says she wants you to spin a spinner with two outcomes, blue and red, on it. She will give you $4 if the spinner lands on blue and $16 if the spinner lands on red.

Your mother says she wants you to roll a six-sided die. She will give you $4 times the number that appears on the die. Determine the expected value of each game and decide which offer you should take.

Expected value for your sister's game:

Expected value for your mother's game:

Which offer should you take?