Section 3.1 Probability

Max has eight circular chips that are all the same size and shape in a bag. Max reaches into the bag and removes one circular chip. What is the theoretical probability that the circular chip has a star on it?

Penelope has a jar containing red, green, and blue marbles of the same size and shape. She randomly selects one marble from the jar, records its color, and puts it back in the jar. She repeats this process 200 times. The table shows the results of the experiment. What is the experimental probability of choosing a blue marble?

Penelope has a jar containing red, green, and blue marbles of the same size and shape. She randomly selects one marble from the jar, records its color, and puts it back in the jar. She repeats this process 200 times. The table shows the results of the experiment. What is the theoretical probability of choosing a green marble?

The arrow of this spinner was spun 30 times and landed on the blue section 12 times. The arrow will be spun one more time.

What is the theoretical probability that the arrow will land on the blue section on the next spin?

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

A spinner has 5 sections of equal size labeled P, Q, R, S, and T. The arrow of this spinner was spun 15 times and landed 4 times on the section labeled Q. Which statement best describes the experimental probability and theoretical probability of the arrow landing on the section labeled Q?

When rolling a fair number cube numbered 1 through 6, which of the following is true?

• The theoretical probability is always greater than the experimental probability.

• The theoretical probability is always less than the experimental probability.

• The more times the cube is rolled the closer the experimental probability gets to the theoretical probability.

• The number 6 will appear more than the number 1.

A bag contained one red, one blue, and one green ball. Each ball in the bag is the same size and shape. Mr. Smith selected a ball from the bag without looking, recorded the color, and returned the ball to the bag. He did this four times, and the results were red, green, blue, green. Determine the experimental probability of Mr. Smith selecting a red ball from the bag.

A spinner consists of two red sections, three blue sections, and three yellow sections (all sections are the same size). What is the theoretical probability of the spinner landing on a blue section?

A standard coin has two sides. One side is heads and one side is tails. The coin is tossed 500 times. According to theoretical probability, how many times should the coin land on tails?

• 500

• 100

• 300

• 250