Alex doesn’t know what to wear today. His options for sweaters are: his school polo (P), his school quarter-zip sweater (Q), or his church sweater (R). His options for shoes are his proper uniform shoes (U) or his Chuck Taylor shoes (C). Draw a Tree diagram to represent all possible combinations. What is the probability that Alex is not in proper uniform? Express your answer as a decimal rounded to 2 decimal places.

a. Provide two independent events that you know the probability of.b. Explain how you know these events are independent.c. Find the probability that they both occur.  a. Provide two dependent events.b. Explain how you know these events are dependent.c. Explain why these dependent events might require a different method for calculating the probability of both events occurring.   Please number your responses to the questions as they are shown (1a, 1b, 1c, 2a, 2b, and 2c).