Suppose that you have 8 cards.

Question

Suppose that you have 8 cards. 3 are green and 5 are yellow. The 3 green cards are numbered 1, 2, and 3. The 5 yellow cards are numbered 1, 2, 3, 4, and 5. The cards are well shuffled. You randomly draw one card.

• G = card drawn is green

• Y = card drawn is yellow

• E = card drawn is even-numbered

Part (a)

List the sample space. (Type your answer using letter/number combinations separated by commas. Example: G1, Y1, ...)

Part (b)

Enter the probability as a fraction.

P(G) =

Part (c)

Enter the probability as a fraction.

P(G | E) =

Part (d)

Enter the probability as a fraction.

P(G AND E) =

Part (e)

Enter the probability as a fraction.

P(G OR E) =

Answer 1

S = { G1, G2, G3, Y1, Y2, Y3, Y4, Y5 }

G = { G1, G2, G3 }

P(G) = 3/8

E = { G2, Y2, Y4 }

P(G|E) = 1/3

P(G and E) = P(G)*P(E) = (3/8)*(3/8) = 9/64

P(G or E) = P(G) + P(E) - P(G and E) = (3/8) + (3/8) - (9/64) = (6/8) - (9/64) = (48/64) - (9/64) = 37/64