3.3 Exercise 27

Suppose that you have eight cards. Five are green and three are yellow. The five green cards are numbered 1, 2, 3, 4, and 5. The three yellow cards are numbered 1, 2, and 3. The cards are well shuffled. You randomly draw one card.

• G = card drawn is green
• E = card drawn is even-numbered
  1. List the sample space.
  2. P(G) = _____
  3. P(G$\left|\right.$E) = _____
  4. P(G $\cap$ E) = _____
  5. P(G $\cup$ E) = _____
  6. Are G and E mutually exclusive? Justify your answer numerically.