Question 1

What is the probability of rolling two 4's in a row on a fair six-sided die?

Write your answer as a simplified fraction.

Question 2

A casino offers a game in which a player places a $3 bet on a 3 coming up on one roll of a six-sided die. If a 3 is rolled, the player keeps their $3 and is paid $12 by the house. If a number other than 3 is rolled, the house keeps the player's $3.

What is the expected value of this game to the player?

Write your answer as a positive or negative dollar value rounded to the nearest cent, e.g., -1.50 or .75.

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