Theoretical and Compound Probability Review

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 

• 1/12
• 1/4
• 1/8
• 1/2

A bag contains 5 yellow, 4 green, and 2 blue marbles. One marble is drawn and immediately put back in the bag. Then a second marble is drawn. Identify whether the events are independent or dependent. 

• Independent
• Dependent

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

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%

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

Jamie has 3 raffle tickets. One hundred tickets were sold. Her name was not drawn for the first prize. What is the probability that her name will be drawn for the second prize?

• 1/3
• 1/33
• 3/100
• 2/99

Janine is randomly arranging four different logo items in a row in the school store window: ear buds, sunglasses, water bottles, and baseball caps. What is the probability that she places the sunglasses first and the baseball hat second?

• 1/12

• 1/2

• 1/3

• 1/6

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