Probability and Likelihood Concepts

The video tutorial introduces the concept of probability, distinguishing it from likelihood by emphasizing its basis in statistical information. It covers probability density, decision making, sample space, and Venn diagrams. Examples using coin tosses and dice illustrate events, probability calculations, and the concepts of union and intersection. The tutorial concludes with a discussion on conditional probability, providing practical examples to enhance understanding.

What is the main difference between likelihood and probability?

• Probability is a guess without scientific information, while likelihood is based on statistical information.

• Likelihood and probability are the same concepts.

• Probability is based on statistical information, while likelihood is a guess without scientific information.

• Likelihood is based on statistical information, while probability is not.

What is a sample space in probability?

• A single outcome of an experiment.

• A statistical measure of likelihood.

• A diagram representing probabilities.

• The collection of all possible outcomes of an experiment.

Which of the following is NOT a representation of a sample space?

• Bar chart

• Tree diagram

• List of numbers

• Venn diagram

In a coin toss, what are the possible outcomes?

• Crown and Tail

• Head and Number

• Crown and Number

• Head and Tail

What does a probability of 0 indicate?

• The event is impossible to occur.

• The event is likely to occur.

• The event has an equal chance of occurring or not.

• The event is certain to occur.

If a dice is thrown, what is the probability of getting a 4?

• 1/2

• 1/3

• 1/4

• 1/6

What does the union of two events represent?

• Outcomes that are in only one of the events.

• Outcomes that are in neither of the events.

• Outcomes that are in at least one of the events.

• Outcomes that are in both events.

How is conditional probability defined?

• Probability of an event not occurring.

• Probability of an event occurring independently.

• Probability of an event occurring given that another event has occurred.

• Probability of two events occurring simultaneously.