S25AMDM UNIT 2 Part2 Flashcard (Table & Tree& Area Model)

Front

What is the expected value in probability?

Back

The expected value is a calculated average of all possible outcomes of a random variable, weighted by their probabilities.

Front

How do you calculate the expected value for a decision tree?

Back

Multiply each outcome by its probability and sum all the results.

Front

What does a probability of 1 indicate?

Back

A probability of 1 indicates that an event is certain to occur.

Front

What is a tree diagram in probability?

Back

A tree diagram is a visual representation of all possible outcomes of a series of events.

Front

How many outcomes are there when rolling a die and flipping a coin?

Back

There are 12 total outcomes (6 outcomes from the die multiplied by 2 outcomes from the coin).

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 it mean if a probability is less than 0?

Back

A probability less than 0 is not possible; probabilities must be between 0 and 1.

Front

What is the significance of gray shading in probability diagrams?

Back

Gray shading often indicates the area of interest or the specific outcomes being analyzed.

Front

What is the formula for calculating the total number of outcomes in a probability experiment?

Back

Total outcomes = (number of outcomes for event 1) x (number of outcomes for event 2) x ...

Front

What is a sample space in probability?

Back

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