Theoretical & Experimental Probability

What is experimental probability?

• Experimental probability is the probability that never changes.

• Experimental probability is the probability calculated using theoretical formulas only.

• Experimental probability is the probability based on historical data.

• Experimental probability is the probability obtained from conducting an experiment and observing the outcomes.

Define theoretical probability.

• Theoretical probability is the likelihood of an event happening based on all possible outcomes.

• Theoretical probability is the likelihood of an event happening based on random chance.

• Theoretical probability is the likelihood of an event happening based on experimental data.

• Theoretical probability is the likelihood of an event happening based on past outcomes.

If a fair six-sided die is rolled, what is the theoretical probability of rolling a 3?

• 1/5

• 1/3

• 1/6

• 1/4

A spinner is divided into 8 equal sections, with 2 sections colored red. What is the theoretical probability of landing on red?

• 2/8 or 1/4

• 3/8

• 1/2

• 1/8

If a bag contains 5 red marbles, 3 blue marbles, and 2 green marbles, what is the theoretical probability of drawing a blue marble?

• 1/5

• 2/10

• 4/10

• 3/10

A coin is flipped 50 times, and it lands on heads 30 times. What is the experimental probability of landing on heads?

• 0.6

• 0.3

• 0.5

• 0.7

A jar contains 20 red balls and 10 blue balls. If a ball is randomly selected, what is the theoretical probability of selecting a blue ball?

• 1/2

• 1/3

• 1/4

• 2/3

A spinner has 5 sections of equal size labeled P, Q, R, and T.
The arrow of this spinner was spun 15 times and landed 4 times on the section labeled Q.

• The experimental probability is ¹/₅, and the theoretical probability is ¹/₅.

• The experimental probability is ¹/₅, and the theoretical probability is ⁴/₁₅.

• The experimental probability is 4/₁₅, and the theoretical probability is ¹/₅.

• The experimental probability is 4/₁₅, and the theoretical probability is ⁴/₁₅.

Find the experimental probability of spinning Letter Q.

• 15/15

• 3/10

• 3/50

• 7/10

A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?

• 3/10

• 3/9

• 1/9

• 1/3