1. The prizes for a raffle are gift certificates from the student council. There number and Number Value value of each type of certificate is given in the table. The prize envelopes are mixed 4 $10 together in a bag and are drawn at random. 5 $20 a. Use a tree diagram to illustrate the possible outcomes for selecting the first two 3 $50 prizes to be given out. Include probabilities on every point of your diagram. [K2] b. What is probability distribution for the number of $20 certificates in the first 2 prizes drawn?[K2] c. Determine the probability that exactly three of the first 5 prizes selected will be valued at $10.[K2] d. Determine (by calculation) the expected number of $10 certificates among the first five prizes.[K2]