Suppose you roll two distinguishable dice, a red one and a green one, and record each outcome as an ordered pair (red number, green number). Let A be the event that the red die shows 4, B be the event that the numbers add to 6, C be the event that at least one of the numbers is 4, and D be the event that the numbers do not add to 10.

a) Express the event (B D)C as a set (that is, explicitly write out all of the outcomes belonging to (B D) C). No justification necessary.

b) Express the event B D' s a set (that is, explicitly write out all of the outcomes belonging to B D' ).

c) Express the following event in symbols using the sets A, B, C, and D along with set operations: The red die shows 4 and the numbers do not add up to 6 or 10.

d) Express the following event in words, using punctuation as necessary to be clear about your meaning:

B A'