The door prizes at a dance are gift certificates from local merchants. There are four $10 certificates, five $20 certificates, and three $50 certificates. The prize envelopes are mixed together in a bag and are drawn at random. a. Create a probability distribution for the number of $50 prizes drawn, n, on the first three draws. Make sure answers are in fraction form and in lowest terms. (2 marks) # of $50 prizes drawn (n) 0 1 2 3 P(n) b. If you were the organizer of this event, would you rather have the local merchants donate more $10 certificates and less $50 ones? What if you were attending the event, would you rather have local merchants donate more $50 certificates and less $10 ones? Explain. (2 marks)