Randomness, Probability and Simulation

Suppose 30% of cereal boxes contain a picture of Kobe Bryant, 20% a picture ofLeBron James, and 50% a picture of Micheal Jordan. Which of the following digit assignments correctly models this situation?

• Let 1 = Kobe Bryant; Let 2 =LeBron James; Let 3 = Michael Jordan

• Let 1-3 = Kobe Bryant; Let 4-5 = LeBron James; Let 6-9 = Michael Jordan

• Let 0-3 = Kobe Bryant; Let 4-5 =LeBron James; Let 6-9 = Michael Jordan

• Let 0-2 = Kobe Bryant; Let 3-4 = LeBron James; Let 5-9 = Michael Jordan

A jar contains 24 marbles, some are green and remaining are blue. A marble is drawn at random from the jar, the probability that it is green is 2/3. Find the number of blue marbles in the jar.

• 8

• 9

• 15

• 16

Imagine rolling two 6-sided dice. What is the probability of the sum of the two dice being 8?

• 5/36

• 1/4

• 7/36

• 1/6

You flip a fair coin four times. What is the probability that you get heads all four times?

• 1/2

• 1/8

• 1/16

• 1/4

What is the probability you land on pink twice in a row?

• 1/16

• 1/4

• 1/8

• 1/64

What is the probability of getting a 4 of hearts or a face card from a standard 52 card deck?

• 12/2704

• 13/104

• 13/52

• 12/52

There are 4 red, 5 yellow, 7 green, 3 pink, and 2 black jellybeans in a jar. Each time a jellybean is picked, it's replaced. What is the probability of picking a red jellybean and green jellybean, or a black jellybean and yellow jellybean?

• 4/63

• 10/441

• 38/441

• 324/441

You have a sack with 3 red marbles, 1 white marble, 5 blue marbles, 6 green marbles, and 3 orange marbles. What is the probability that you draw a blue or green marble?

• 30/324

• 1/9

• 11/18

• 11/324

What is the probability of rolling a 5 or a 6 twice in a row on a six-sided dice?

• 1/3

• 1/36

• 1/6

• 1/18

You have a sack with 3 red marbles, 1 white marble, 5 blue marbles, 6 green marbles, and 3 orange marbles. What is the probability that you draw a red and a white marble?

• 1/108

• 1/81

• 2/9

• 1/6