3"] The chances that UK wins in the next three basketball games are at 1|llanderbilt [30%], Die Miss [T596]: and at LSU {46%}. a} WITE they win all games? {i} WITC they don't win all games? b} WITC they lose all games? e] WITC they win exactly 1 game? cl WITE they win at least one game? fl WITC they win exactly 2 games? 3] The chance that a girl fails the exam is 3% and the chance that a boy fails is 5%. There are .5. girls and 23 buy in the class and everyone's outcome is independent from each other's. What is the chance that no one fails? 9] In order to get an A for this class, you need to do great in everything: lQuizzes [chance you do great is 50%}, exam [30%], 2"\" exam [35%], paper [60%] and final exam [4055}. Assuming independence... a} WITC you get an A? b} WITC you don't get an A? cl Is the assumption of independence realistic? 113] A little harder... Assume you bet it) NCAA Football games againstthe spread [meaning the chance t: pick the game correctly is always SUB-5} a} What is the chance that you will pick all 1|] games correctly? b] There are 5E! students in the class and we all pick 1!) games each for 1i] weeks. What is the chance that at least one of the students will at least once get 10f 1i] games correct