Question: A simple experiment is conducted. First a six-sided die is rolled and then a coin is flipped.

a) List the rest of the sample space for this experiment.

H1, H2...

b) Using the fact that all the events are equally likely we can assign a probability of ______ to each of the simple events.

c) Use your answer to the preceding to find the probability that when the experiment is conducted the die will show a number 3, 4, or 5 and the coin will land heads up.

d) Use your answer part b) to find the probability that when the experiment is conducted the die will show a number 3 or less and the coin will land heads up.

e) Use your answer part b) to find the probability that when the experiment is conducted the die will show a number less than 6 and the coin will land heads up.

f) Explain why your answer to part e) is not equal to the sum of your answers in parts c) and d).