You are playing a game that if you succesfully throw 4 bean bags in a bucket, you will win $10. You must pay $1 each time you throw a bean bag. Assume that each throw is independent and probability that you can throw a bean bag into a bucket is 0.4. Let X be the number of throws you need to win that $10.
(a) What is the expected number of throws you need to win?
(b) You have $6 in your pocket and decide to play this game until you either win or you go broke. What is your chance of winning?