Consider the following game in which a player rolls a single die. If a prime \((2,3\), or 5\()\) is rolled, the player wins \(\$ 2\). If a square ( 1 or 4 ) is rolled, the player wins \(\$ 1\). However, if the player rolls a perfect number (6), it costs the player \(\$ 11\). Is this a good deal for the player or not?