Quiz on Probability

What is empirical probability based on?

• Theoretical assumptions

• Observations from probability experiments

• Predictions

• Random guesses

What are the three types of probability mentioned?

• Classical, empirical, and subjective

• Theoretical, practical, and hypothetical

• Observational, experimental, and predictive

• Random, fixed, and variable

Which formula represents classical probability?

• P(E) = Frequency of event E / Total frequency

• P(E) = Number of outcomes in event E / Total number of outcomes in sample space

• P(E) = Total outcomes / Number of events

• P(E) = Total frequency / Frequency of event E

If a doctor estimates a 90% chance of a full recovery for a patient, what type of probability is this?

• Classical probability

• Empirical probability

• Subjective probability

• Theoretical probability

Based on previous counts, the probability of a salmon successfully passing through a dam is 0.85. What type of probability is this?

• Classical probability

• Empirical probability

• Subjective probability

• Theoretical probability

What type of probability is this? A weather forecaster predicts a 70% chance of rain tomorrow based on current atmospheric conditions and experience.

• Classical

• Empirical

• Subjective

What type of probability is this? A coin is flipped, and the probability of getting heads is calculated as 0.5.

• Classical

• Empirical

• Subjective

What type of probability is this? After observing 200 basketball free throws, a coach determines the player makes 75% of them.

• Classical

• Empirical

• Subjective

Which of the following best describes subjective probability?

• Probability based on personal judgment or opinion

• Probability calculated from repeated experiments

• Probability determined by mathematical reasoning

• Probability based on the number of possible outcomes

After conducting 100 trials, a scientist finds that an event occurs 40 times. What is the empirical probability of the event?

• 0.25

• 0.6

• 0.5

• 0.4