Experimental Theoretical Subjective Probability

The law of large numbers shows a relationship between the theoretical probability and the _____.

• rational probability

• experimental probability

• exponential probability

• sample size

Jeffery used a spinner to conduct an experiment. The results of his first thirty spins are shown below:

Red 9, Green 8, Yellow 6, and Blue 7.

If Jeffery continues to spin the spinner an additional 500 times, what will happen to the probability of spinning yellow?

• a) The experimental probability will move further away from the theoretical probability as the number of trials increases.

• b) The experimental probability will remain the same as the number of trials increases.

• c) The experimental probability will come closer to the theoretical probability as the number of trials increases.

As the number of trials increases the experimental probability approaches the theoretical probability.

• Yes

• No

A fair coin is tossed 80 times. The coin lands on tails 38 times. Select ALL true statements about the probability of this scenario.

• The more times the coin is tossed, the closer the experimental probability will get to the theoretical probability

• The theoretical probability is less than the experimental probability of landing on tails.

• The theoretical probability of landing on tails is 1/2 and the experimental probability of landing on tails is 19/40

• The theoretical probability is the same as the experimental probability of landing on tails.

What is the experimental probability of P(Y,R)? Write your answer as a percent rounded to the nearest tenth. (example: 13.5)

Mathematical Equivalence

ON

What is the experimental probability of P(R,A)? Write your answer as a percent rounded to the nearest tenth. (example: 13.5)

Mathematical Equivalence

ON

What is the experimental probability of P(G,G)? Write your answer as a percent rounded to the nearest tenth. (example: 13.5)

Mathematical Equivalence

ON

What is the experimental probability of P(G,G)?

Write your answer as a percent rounded to the nearest tenth.

(example: 13.5)

Mathematical Equivalence

ON

The likelihood of an event occurring based on data from an experiment is called the

• sample space

• experimental probability

• law of large numbers

• theoretical probability

30% of the starburst candy manufactured for sale is strawberry-flavored. Ellie found that the probability of randomly choosing a pink starburst from a package of 10 starburst was 1/5. When she opened 30 more packages of starburst, she found that the probability of choosing a strawberry randomly was 3/10. What term best describes this discovery?

• sample space

• subjective probability

• law of large numbers

• complement of an event