Math 2-Unit 10 Midterm Review-Tree Diagram 2024-25

Front

What is a tree diagram?

Back

A tree diagram is a graphical representation used to illustrate all possible outcomes of a probability experiment, showing the branching of events.

Front

Define 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?

Back

P(A ∩ B) represents the probability that both events A and B occur simultaneously.

Front

What is the formula for calculating the probability of the union of two events?

Back

P(A U B) = P(A) + P(B) - P(A ∩ B) where P(A U B) is the probability of either event A or event B occurring.

Front

How do you calculate P(Not A)?

Back

P(Not A) = 1 - P(A), where P(Not A) is the probability that event A does not occur.

Front

What is the significance of conditional probability?

Back

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

Front

Explain the concept of independent events.

Back

Two events are independent if the occurrence of one does not affect the probability of the other occurring.

Front

What is the probability of an event that is certain to happen?

Back

The probability of an event that is certain to happen is 1.

Front

What is the probability of an impossible event?

Back

The probability of an impossible event is 0.

Front

Using a tree diagram, how do you find the probability of a specific outcome?

Back

To find the probability of a specific outcome using a tree diagram, multiply the probabilities along the branches leading to that outcome.