Classical and Empirical Probability Quiz

What is classical probability?

• Branch of probability theory dealing with independent events.

• Branch of probability theory dealing with mutually exclusive events.

• Branch of probability theory dealing with dependent events.

• Branch of probability theory dealing with equally likely outcomes

In classical probability, how is the probability of an event calculated?

• By subtracting the number of favorable outcomes from the total number of possible outcomes.

• By dividing the number of favorable outcomes by the total number of possible outcomes.

• By multiplying the number of favorable outcomes by the total number of possible outcomes.

• By adding the number of favorable outcomes to the total number of possible outcomes.

What is empirical probability?

• The probability of an event based on theoretical calculations.

• The probability of an event based on personal beliefs.

• The probability of an event based on random guessing.

• The probability of an event based on observed data or experiments.

In empirical probability, how is the probability of an event calculated?

• By dividing the number of favorable outcomes by the total number of possible outcomes.

• By adding the number of favorable outcomes to the total number of possible outcomes.

• By subtracting the number of favorable outcomes from the total number of possible outcomes.

• By multiplying the number of favorable outcomes by the total number of possible outcomes.

What is the sample space in classical probability?

• Set of all possible outcomes

• Set of all probable outcomes.

• Set of all impossible outcomes.

• Set of all certain outcomes.

What is the sample space in empirical probability?

• Set of all possible outcomes

• Set of all actual outcomes.

• Set of all probable outcomes.

• Set of all impossible outcomes.

What is the formula for calculating classical probability?

• P(A) = Number of unfavorable outcomes / Total number of possible outcomes.

• P(A) = Number of favorable outcomes / Number of unfavorable outcomes.

• P(A) = Total number of possible outcomes / Number of favorable outcomes.

• P(A) = Number of favorable outcomes / Total number of possible outcomes

What is the formula for calculating empirical probability?

• number of favorable outcomes / total number of possible outcomes

• total number of favorable outcomes / number of possible outcomes

• number of favorable outcomes / total number of outcomes

• number of favorable outcomes / number of possible outcomes

What is the difference between classical and empirical probability?

• Classical probability is based on observed data and calculates the probability based on the frequency of occurrence of an event.

• Classical probability is based on theoretical calculations and assumes that all outcomes are equally likely. Empirical probability is based on observed data and calculates the probability based on the frequency of occurrence of an event.

• Classical probability is based on experimental data and calculates the probability based on observed outcomes.

• Empirical probability is based on theoretical calculations and assumes that all outcomes are equally likely.

Give an example of classical probability.

• Choosing a number between 1 and 10.

• Drawing a card from a standard deck.

• Flipping a fair coin

• Rolling a six-sided die.