Aperson flips a fair coin until the first head appears. if flips the coin n times, they win 2^n dollars. if x denotes the player’s winnings, show that e[x] = +∞. (a) would you pay $1 million to play this game? (b) would you pay $1 million for each game and only need to settle your debt after you decide to stop playing?

Mrs. morton has a special reward system for her class. when all her students behave well, she rewards them by putting 3 marbles into a marble jar. when the jar has 100 or more marbles, the students have a party. right now, the the jar has 24 marbles. how could mrs. morton reward the class in order for the students to have a party?

Including 6% sales tax, an inn charges $135.68 per night. find the inns nightly cost

Abag contains 10 white golf balls and 6 striped golf balls. a golfer wants to add 112 golf balls to the bag. he wants the ratio of white to striped gold balls to remain the same. how many of each should he add?