Compound Probability Without Replacement

P(two green cards)
DO NOT replace

• 1/29

• 11/30

• 1/25

• 1/5

P(two cards that are neither red nor green)
DO NOT replace

• 57/145

• 19/30

• 1/2

• 4/7

Find each probability of picking a V, then a K, if you pick a card, do not replace it, and then pick a second card.

Two cards are drawn from a standard deck of cards and no cards are returned to the deck. Identify whether the events are independent or dependent.

• Independent

• Dependent

Two marbles are randomly drawn from a bag containing 3 purple, 1 blue, and 1 yellow marble. The first marble is blue and is not replaced. Find the probability of drawing a second marble that is purple.

• 3/5

• 3/4

• 3/20

• 2/5

Gregg has 12 cards. Half are black, and half are red. He picks two cards out of the deck without replacement. What is the probability that both cards are red?

• 1/6

• 5/22

• 1/2

• 1/144

A jar contains 12 caramels, 7 mints and 16 dark chocolates. What is the probability of selecting a dark chocolate and then a caramel?

• 12/35 x 12/34

• 16/35 x 12/34

• 16/35 x 12/35

• 12/35 x 16/34

P(2 then 5) = 

• 1/6

• 1/12

• 1/36

• Using these totals of M&M's

• Red = 5

• Green = 4

• Blue = 6

• Yellow = 3

• Find the probability of the event. You will not replace the first M&M.

• Drawing two red M&M's

• Using these totals of M&M's

• Red = 5

• Green = 4

• Blue = 6

• Yellow = 3

• Find the probability of the event. You will not replace the first M&M.

• Drawing a red and a blue M&M: