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.

b. Express the event B D' as a set.

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 B A'.