A Indiana University student wants to celebrate Valentine's Day with their significant other. The possible gifts are chocolates (C), flowers (F), or going out to dinner (D). Since Valentine's Day is a Tuesday this year, they are planning to celebrate it on Sunday (S), Monday (M), or Tuesday (T). Since money is always in short supply, they are limiting their spending to $5 (5), $10 (10), $15 (15), or $20 (20).

The sample space in this situation is: {CS5, CS10, CS15, CS20, CM5, CM10, CM15, CM20, CT5, CT10, CT15, CT20, FS5, FS10, FS15, FS20, FM5, FM10, FM15, FM20, FT5, FT10, FT15, FT20, DS5, DS10, DS15, DS20, DM5, DM10, DM15, DM20, DT5, DT10, DT15, DT20}

Consider the following events. No work is required for this problem.

A = They decide to celebrate on Tuesday. B = The cost is more than $12. C = They decide to NOT go out to dinner and they plan on spending $10.

a) List the outcomes for each of A, B, and C.

b) List the outcomes of the events A U B and A B.