Probability Review

Front

What is the probability of an event?

Back

The probability of an event is a measure of the likelihood that the event will occur, expressed as a number between 0 and 1.

Front

What is a sample space in probability?

Back

A sample space is the set of all possible outcomes of a probability experiment.

Front

Define independent events in probability.

Back

Independent events are two or more events where the occurrence of one event does not affect the occurrence of the other.

Front

What is the formula for calculating the probability of two independent events A and B occurring?

Back

P(A and B) = P(A) * P(B) for independent events.

Front

What is conditional probability?

Back

Conditional probability is the probability of an event occurring given that another event has already occurred.

Front

How is conditional probability denoted?

Back

Conditional probability is denoted as P(A | B), which means the probability of A given B.

Front

What is the formula for conditional probability?

Back

P(A | B) = P(A and B) / P(B) if P(B) > 0.

Front

What is the difference between permutations and combinations?

Back

Permutations consider the order of selection, while combinations do not.

Front

What is the probability of rolling an even number on a fair six-sided die?

Back

The probability is 3/6 or 1/2, since the even numbers are 2, 4, and 6.

Front

What is the probability of rolling a 3 on a fair six-sided die?

Back

The probability is 1/6, as there is one favorable outcome (rolling a 3) out of six possible outcomes.