Unit 8 Probability Flashcard (Fall 2024 Sorenson))

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 does P(A|B) represent in probability?

Back

P(A|B) represents the conditional probability of event A occurring given that event B has occurred.

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

Define 'intersection' in probability.

Back

The intersection of two events A and B, denoted as A ∩ B, is the event that both A and B occur.

Front

Define 'union' in probability.

Back

The union of two events A and B, denoted as A ∪ B, is the event that at least one of A or B occurs.

Front

If the probability of rolling a 4 on a fair six-sided die is 1/6, what is the probability of not rolling a 4?

Back

The probability of not rolling a 4 is 1 - P(rolling a 4) = 1 - 1/6 = 5/6.

Front

What is the probability of rolling a 4 or a 5 on a fair six-sided die?

Back

P(rolling a 4 or a 5) = P(rolling a 4) + P(rolling a 5) = 1/6 + 1/6 = 1/3.

Front

What is the probability of rolling a die and landing on an even number?

Back

The probability of rolling an even number (2, 4, or 6) is 3/6 = 1/2.

Front

What is the difference between 'and' and 'or' in probability?

Back

'And' refers to the intersection of events (both must occur), while 'or' refers to the union of events (at least one must occur).

Front

How do you represent the probability of event A occurring?

Back

The probability of event A occurring is represented as P(A).