Introduction to Probability Quiz

What does probability denote?

• The certainty of an event occurring

• The possibility of the outcome of a random event

• The average outcome of multiple events

• The impossibility of an event occurring

What is the sample space in probability theory?

• The most likely outcome of an experiment

• The least likely outcome of an experiment

• The average of all outcomes in an experiment

• The set of all possible outcomes of an experiment

Which of the following is an example of a countable sample space?

• Individual income

• Real numbers

• Individual wealth

• Exam grades

What is the complement of an event A?

• The set of all outcomes in A

• The union of A with the sample space

• The set of all outcomes not in A

• The intersection of A with the sample space

What does it mean for two events to be disjoint?

• They are independent of each other

• They are dependent on each other

• They can occur at the same time

• They cannot occur at the same time

What is the formula for the number of permutations of n objects taken r at a time?

• n! + r!

• n^r

• n!/(n-r)!

• n!/(r!(n-r)!)

What is the total probability of the sample space?

• 0

• Undefined

• 1

• 0.5

What is the number of possible ordered samples when rolling a die seven times?

• 6^7

• 42

• 7^6

• 36

What is the formula for conditional probability P(A|B)?

• P(A|B) = P(A∩B) / P(B)

• P(A|B) = P(A or B) / P(B)
• P(A|B) = P(A) + P(B)
• P(A|B) = P(B) / P(A and B)

What does the joint probability P(A∩B) represent?

• The probability of event B occurring alone.
• The probability of event A occurring alone.
• The probability of either event A or B occurring.
• The probability of both events A and B occurring together.