PART A)

Sample Space is pretty simple.

Pentagonal die has 5 sides.

Coin has 2 sides.

# of sides = # of possibilities for each item

The sample space is just a box showing the possibilities.

eg. Sample space for 2 coins.

(H, H) (H, T)

(T, H) (T, T)

Notice how each coin has 2 sides, therefore 2 possibilities. So the box is going to be a 2x2 box. With 2x2 = 4 entries.

So, the sample space for your question should have 2 x 5 = 10 entries. Just some busy work.