Math 2 Final Exam Review: Unit 6

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, or as a percentage.

Front

How do you calculate the probability of 'A or B'?

Back

P(A or B) = P(A) + P(B) - P(A and B). This formula accounts for the overlap between events A and B.

Front

What is the probability of selecting a student who does not own a car?

Back

To find this, divide the number of students who do not own a car by the total number of students.

Front

What does 'with replacement' mean in probability?

Back

'With replacement' means that after an item is selected, it is returned to the pool before the next selection, keeping the total number of items constant.

Front

What is a simplified fraction?

Back

A simplified fraction is a fraction that has been reduced to its lowest terms, meaning the numerator and denominator have no common factors other than 1.

Front

How do you find the probability of two independent events occurring?

Back

For two independent events A and B, the probability of both occurring is P(A and B) = P(A) * P(B).

Front

What is conditional probability?

Back

Conditional probability is the probability of an event occurring given that another event has already occurred, denoted as P(A|B).

Front

How do you calculate the probability of 'not A'?

Back

P(not A) = 1 - P(A). This represents the likelihood that event A does not occur.

Front

What is the total probability rule?

Back

The total probability rule states that if events B1, B2, ..., Bn form a partition of the sample space, then P(A) = P(A|B1)P(B1) + P(A|B2)P(B2) + ... + P(A|Bn)P(Bn).

Front

What is the difference between dependent and independent events?

Back

Independent events do not affect each other's outcomes, while dependent events do; the outcome of one event influences the outcome of the other.