Simulations and Predictions

Front

What is a simulation?

Back

A simulation uses one or more models to imitate how those models might function in a real life situation.

Front

What is the purpose of using simulations?

Back

Simulations are used to test hypotheses, explore scenarios, and understand complex systems without the risks or costs of real-life experimentation.

Front

How can you simulate choosing one student out of 12?

Back

You can roll a die and flip a coin.

Front

If Samuel has 5 different colors of pens and 2 different colors of paper, how can you model his choices?

Back

You can spin a spinner with 5 sections, then flip a coin.

Front

What is the probability of selecting a defective TV if the chance is 50%?

Back

The probability of selecting two defective TVs is determined by flipping a coin twice.

Front

How do you calculate the expected number of girls who like pink if 5 out of 25 do?

Back

If 5 out of 25 girls like pink, then for 325 girls, you would expect 65 to like pink.

Front

What is the definition of probability?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Front

What is a model in the context of simulations?

Back

A model is a simplified representation of a system or phenomenon used to understand and predict its behavior.

Front

What is the difference between a simulation and an experiment?

Back

A simulation imitates real-life processes, while an experiment tests hypotheses in a controlled environment.

Front

What does it mean to 'simulate' in mathematics?

Back

To simulate in mathematics means to use random methods to model and analyze complex systems or processes.