Probability Predictions and Simulations

Layla has 2 pairs of shoes and 6 pairs of socks. If each pair of socks and each pair of shoes is equally like to be chosen, which is the best simulation to show the probability of choosing any given combination?

• roll a die and flip a coin

• roll a die two times

• flip a coin 6 times

• flip a coin 2 times

In a class of 20 students, 12 are girls and 8 are boys. A simulation predicts that in a random group of 5 students, 3 will be girls. What is the probability of this prediction being accurate?

A sports bag contains 3 tennis balls, 4 baseballs, and 8 golf balls. Each is equally likely to be chosen. Which of the following models could be used to simulate this situation?

• flipping a coin fifteen times

• spinning a spinner with three equal sections

• choosing from 3 red marbles, 4 yellow marbles, and 8 blue marbles

• rolling a number cube labeled one through six fifteen times

A disease testing kit has a 95% accuracy rate. If 100 tests are simulated, how many tests are expected to correctly diagnose the disease?

• 90

• 95

• 85

• 100

A cereal company is placing one of 6 different tickets into its boxes of cereal. If each ticket is equally likely to appear in a box of cereal, which model could be used to simulate the tickets you would find in 50 boxes of cereal?

• a coin that is flipped 50 times

• a spinner that has 4 sections that is spun 50 times

• a number cube that is rolled 50 times

• a coin is flipped and a number cube is rolled 50 times 

In a simulation of 100 trials, a fair coin is flipped. What is the expected number of times the coin will land on heads?

• 25

• 50

• 75

• 100