Qualitative & Quantitative Probability

A bag contains 20 pink candies, 8 red candies, and 12 green candies. Without looking, Sarah pulls out a piece of candy. Which color of candy is least likely to be pulled out?

• Pink

• Red

• Green

• certain

• likely

• not likely

• impossible

Monica and Simone are playing a game using a number cube. The number cube is numbered 1 through 6. Monica needs to roll an odd number to win. Simone needs to roll an even number to win. What is the probability of Simone winning compared to Monica’s probability of winning?

• The chance of Simone winning is greater compared to Monica

• The chance of Simone winning is less than compared to Monica

• The chance of Simone winning is equal compared to Monica

The chance that some event will occur

• Probability

• Sample Space

• Prediction

• Random

Vy is shopping for a car. It comes in red, blue, or silver. She can also choose a 2-door and 4-door version along with a manual or automatic transmission. What is the theoretical probability that Vy will pick 4-door car, automatic transmission and it being red or blue?

Mathematical Equivalence

ON

In a certain population of birds, about 40 percent of the birds have a wingspan greater than 10 inches. Biologists studying the birds will create a simulation with random numbers to estimate the probability of finding 1 bird in a sample of 6 birds with a wingspan greater than 10 inches. Which of the following assignments of the digits 0 to 9 will model the population?

• Let the even digits represent birds with a wingspan greater than 10 inches and the odd digits represent birds with a wingspan less than or equal to 10 inches.

• Let the digits 0 and 1 represent birds with a wingspan greater than 10 inches and the remaining digits represent birds with a wingspan less than or equal to 10 inches.

• Let the digits from 0 to 2 represent birds with a wingspan greater than 10 inches and the remaining digits represent birds with a wingspan less than or equal to 10 inches.

• Let the digits from 0 to 3 represent birds with a wingspan greater than 10 inches and the remaining digits represent birds with a wingspan less than or equal to 10 inches.

• Let the digits from 0 to 4 represent birds with a wingspan greater than 10 inches and the remaining digits represent birds with a wingspan less than or equal to 10 inches.

What is the experimential probability of spinning a green? (use a reduced fraction)

Mathematical Equivalence

ON

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

An online office supply store has 30 boxes of white printer paper, 10 boxes of colored printer paper, 5 ink printer cartridges, 7 laser printer cartridges. Thomas selects an item at random. Based on the given information, which statement is true?

• The item is more likely to be an ink printer cartridge than a laser printer cartridge.

• The item is less likely to be colored printer paper than a laser printer cartridge.

• The item is more likely to be white printer paper than any other product.

• The item is less likely to be colored printer paper than any other product.

Alejandro surveyed the students in the cafeteria during his lunch period to find out their favorite meal. Based on the table, fill in the blank to create a true statement. The student's favorite meal is equally likely to be ____________ or _________________ combined as it is to be chicken nuggets.

• hamburgers, grilled chicken sandwich

• chicken nuggets, pizza

• hamburger, pizza

• hamburger, chicken nuggets