1. Suppose that a very sneaky little mouse squeaks on average only one time in 50 when he sees a piece of cheese on a kitchen table and he only squeaks when he sees cheese on the kitchen table. If there is a new piece of cheese on the kitchen table each day and each day the mouse comes out of his mouse hole exactly one time to gaze longingly at the kitchen table, what is the probability that the mouse squeaks exactly 12 times in a year?
2. You toss a coin five times. Each time it lands on heads, you double your money. Each time it lands on tails you lose half of your money. You start with two dollars. What is the expected amount that you earn?