5. During our studying for midterms, we have decided to eat oreos between every problem we solve. Due to inflation, we can no longer afford to eat as many oreos, so we come up with a method to eat fewer oreos while studying for our midterms. Whenever we finish a problem, and want a reward, we apply the following method. First, we roll a die, then we flip a coin using the following pattern. [Note: that each condition is considered sequentially, "if" not "elif"]. - For numbers divisible by 3 , we flip a fair coin - For odd numbers, we flip an unfair coin with a heads probability of 0.4 - For 2, we flip two fair coins - For 4, we flip a trick coin that always yields a head Whenever the coin flip gives exactly one heads, we get to eat an oreo. (a) What is the sample space for this experiment? (b) Determine the following probabilities: (i) We roll a 4 and we eat an Oreo (ii) We roll a 2 and we eat an Oreo (iii) We roll a 1 and you get a heads. (iv) We roll a 3 and get exactly two heads. (c) Are the events of rolling a 2 and getting at least one head independent? Justify your