Five thousand tickets are sold at $1 each for a charity raffle. Tickets are to be drawn at random and monetary prizes awarded as follows: 1 prize of $900, 3 prizes of $100, 5 prizes of $20, and 20 prizes of $5. What is the expected value of raffle if you buy 1 ticket? Let X be the random variable for the amount won on a single raffle ticket. E(X) = dollars (Round to the nearest cent as needed.)

Find the probability of each event. Getting 2 red eggs in a single scoop from a bucket containing 5 red eggs and 7 yellow eggs

Find the probability of each event. Drawing 5 orange cubes from a bowl containing 5 orange cubes and 1 beige cubes

On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form the price of an appliance. If the contestant is correct, he or she wins the appliance. What is the probability of winning when the contestant knows that the price is at least $400?