Theoretical vs Experimental Probability Challenge

The video tutorial introduces the concepts of theoretical and experimental probability. It begins with defining outcomes and sample space, explaining how to list all possible outcomes of an experiment. The tutorial then covers the basics of probability, including its range from 0 to 1, and how to calculate it using the ratio of favorable outcomes to total outcomes. The difference between theoretical and experimental probability is discussed, with examples illustrating each. Finally, the concept of complements in probability is explained, emphasizing the probability of an event not occurring.

What does the term 'outcome' refer to in probability?

• The set of all possible results in an experiment

• The result of an experiment or situation

• A specific type of probability calculation

• The process of conducting an experiment

What is the correct definition of 'sample space'?

• The outcome that occurs most frequently

• The probability of an event occurring

• The number of experiments conducted

• The set of all possible outcomes

What range can a probability value fall within?

• It can be any positive number

• Between -1 and 1

• Between 0 and 100

• Between 0 and 1

How is probability calculated?

• Total outcomes over favorable outcomes

• Favorable outcomes times total outcomes

• Favorable outcomes over total outcomes

• Total outcomes minus favorable outcomes

What does a probability of 0 indicate?

• The event cannot happen

• The event is certain to happen

• The event is unlikely to happen

• The probability is undefined

What does a probability of 1 (or 100%) indicate?

• The event cannot happen

• The event is certain to happen

• The event has a 50% chance of happening

• The event is unlikely to happen

What distinguishes theoretical probability from experimental probability?

• Theoretical probability is what should happen, while experimental is what actually happened.

• There is no difference between the two.

• Experimental probability is calculated without conducting any experiments.

• Theoretical probability is based on actual outcomes, while experimental is not.

If a coin is flipped 10 times and lands on heads 6 times, what is the experimental probability of flipping heads?

• 0.4

• 1.0

• 0.5

• 0.6

What is the complement in probability?

• The sum of the probabilities of all events

• The probability of an event not occurring

• The opposite of the probability of an event

• The probability of an event occurring

If the probability of rain is 30%, what is the complement of this probability?

• 30%

• 70%

• 60%

• 100%