Probability Theory Vocab Quiz

What does the term "combination" refer to in probability theory?

• The selection of objects where the order is important

• The selection of objects from a group where the order doesn't matter

• The total number of outcomes for a given event

• The outcome of one event affecting another event

What is meant by "complement" in the context of probability?

• The set of outcomes that are in an event

• The set of outcomes that are not in an event

• The probability of two dependent events occurring

• The rule that determines the number of possible outcomes

Which example best illustrates "conditional probability"?

• Choosing a shirt, pants, and shoes from a wardrobe

• Rolling a die and getting a six

• Drawing a heart from a deck of cards, given that a diamond has already been drawn

• Flipping a coin 1000 times and observing the number of heads

What defines "dependent events" in probability?

• Events where the outcome of one does not affect the outcome of another

• Events that cannot occur at the same time

• Events where the outcome of one event affects the outcome of another event

• Events that have an unlimited number of outcomes

What is the "factorial" of a number in mathematics?

• The sum of all positive integers up to that number

• The product of all positive integers from 1 to that number

• The division of that number by all positive integers up to it

• The subtraction of all positive integers from that number

What principle is described by the "Fundamental Counting Principle"?

• The probability of an event occurring given another event has occurred

• The total number of outcomes of a sequence of events is the product of the number of outcomes for each event

• The selection of objects from a group without considering order

• The set of outcomes that are not part of any event

What does the "Law of Large Numbers" state?

• The product of all positive integers from 1 to a given number

• The selection of objects where the order doesn't matter

• As the number of trials in a probability experiment increases, the experimental probability of an event approaches the theoretical probability

• The total number of possible outcomes of a sequence of events

Which scenario exemplifies "mutually exclusive events"?

• Drawing two cards from a deck without replacement

• Rolling a 1 and rolling a 6 on a six-sided die at the same time

• Choosing three toppings for a pizza from a list of ten

• Counting the number of ways to choose a shirt, pants, and shoes

What is a permutation in the context of probability theory?

• A) A sequence where order does not matter

• B) An arrangement of objects where the order matters

• C) A combination of different elements

• D) A type of probability calculation

What does the sample space of a probability experiment represent?

• A) The theoretical probability of an event

• B) The actual outcomes observed in an experiment

• C) The set of all possible outcomes of a probability experiment

• D) The most likely outcome of an experiment