3. (16pt- Turn in HERE) Danielle is performing an experiment where she flips a coin, rolls a 8 sided dice, and draws a marble from a bag with 4 red, 5 green, 10 blue, and 2 purple. Use this information to answer the following questions (be sure to write all probability answers as fractions AND decimals with 3 place values): A. How big is the sample space if all outcomes are equally likely? Write out, exactly, what a possible outcome might be. B. Let event A be rolling less than a 3 on the die while also flipping heads. Find P(A). C. Let event B be flipping a tails while also drawing a color with "I" in the name . Find P(B). D. Are A and B independent? Justify by finding P(A and B). E. Let event C be drawing a blue marble and event D be an event mutually exclusive with C. What is one possibility for D? Are D and C also independent? F. Write in words and find P(C or B). G. Write in words and find P(B | C)