Compound Probability with or without Replacement

P(2 then 5) = 

• 1/6

• 1/12

• 1/36

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

Johnny did a survey and discovered that 5 out of 32 students walk to school. If 3 students are randomly selected from Johnny's school, without replacement, what is the probability that all 3 students walk to school?

• 3/7,440 = 0.04%

• 1/4,960 = 0.06%

• 15/8,192 = 0.18%

• 1/496 = 0.2%

Two cards are chosen at random from a standard deck of 52 cards without replacement. What is the probability of choosing two kings? 

• 1/26 = 3.85%

• 1/69 = 1.45%

• 1/221 = 0.45%

• 4/663 = 0.60%

Matt made a list of the top 20 highest mountain peaks in the United States. If he selects three mountains at random, what are the chances he will select Mt. McKinley, Mount Whitney, and Mount Rainier? 

• 1/8000

• 1/6840

• 1/1140

• 3/4000

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

You pick a marble from this bag.

What is the probability you will choose either a black or white marble?

• 3/5

• 9/100

• 1/10

• 2/5

A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?

• Independent

• Dependent

Is the event INDEPENDENT or DEPENDENT?

Amy plays card games. She picks a card at random. Then WITHOUT putting the first card back, he picks a second card at random.

• Independent

• Dependent

Is the event INDEPENDENT or DEPENDENT?
You have a jar with 24 pieces of chocolate candy and 14 pieces of orange candy.  We take one piece of candy at random from the jar, put it back, and then take a second piece of candy at random from the jar.

• Independent

• Dependent