Probability Models

Front

What is a probability model?

Back

A probability model is a mathematical representation of a random phenomenon, describing the likelihood of different outcomes.

Front

How do you calculate the expected value in a probability model?

Back

The expected value is calculated by multiplying each possible outcome by its probability and summing all these products.

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

If a spinner has 4 equal sections, what is the probability of landing on any one section?

Back

The probability is 1/4, since there are 4 equal sections.

Front

What does it mean for outcomes to be equally likely?

Back

Outcomes are equally likely if each outcome has the same chance of occurring.

Front

How do you represent a probability model using a spinner?

Back

A spinner can represent a probability model by dividing it into equal sections, each representing a different outcome.

Front

What is the expected number of times a number will be selected if a spinner is spun multiple times?

Back

Multiply the total number of spins by the probability of landing on that number.

Front

How can you simulate choosing from different items in a bag?

Back

You can simulate this by using a random selection method, such as drawing colored marbles that represent the items.

Front

What is the formula for calculating the probability of multiple events occurring?

Back

For independent events, multiply the probabilities of each event. For dependent events, adjust the probabilities based on previous outcomes.

Front

What is a random experiment?

Back

A random experiment is a process that leads to one of several possible outcomes, where the outcome cannot be predicted with certainty.