1.Imagine that you have a fair coin with outcomes heads and tails, an evenly weighted die with outcomes even and odd, and a bag that has 3 red marbles and 3 green marbles with outcomes red and green.

a)Create a tree diagram for the event of flipping the coin, rolling the die, and picking one marble.

b)Use the tree diagram to list out the sample space - for each event use the following notation heads = H, tails = T, even = E, odd = O, red = R, and green = G. For example, one event would be flipping heads, rolling even, and pulling a green marble HEG (each event is made up of the three outcomes)

c)Since each outcome is independent and has the same probability as the other outcomes, every event has the same probability. What is that probability?