Simulations & Predictions Warmup

Which is the best way to simulate choosing one student out of 12 to be the class president?

• roll a die and flip a coin

• roll a die

• spin a spinner with 4 sections

• flip a coin

Answer explanation

The best way to simulate choosing one student out of 12 to be the class president is to roll a die and flip a coin, ensuring a random and fair selection process.

Tags

CCSS.7.SP.C.8C

What is a simulation and why are they used?

• A simulation is a giant model in motion for a test.

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

• A simulation tests a hypothesis with 100% accuracy.

Answer explanation

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

The questions on a multiple choice test each have 6 answer choices. Which model can be used to simulate randomly selecting the correct answer on a 20 question multiple choice test?

• rolling a six-sided number cube 6 times

• rolling a six-sided number cube 20 times

• spinning a spinner with 4 equal sized sections 4 times

• choosing 1 marble in a bag of 20 different colored marbles

Answer explanation

The model that can be used to simulate randomly selecting the correct answer on a 20 question multiple choice test is rolling a six-sided number cube 20 times.

Tags

CCSS.7.SP.C.8C

How could you simulate randomly choosing a place for lunch out of 6 different restaurants?

• flip a coin

• roll a die

• spin a 4-sided spinner

• flip 2 coins

Answer explanation

To simulate randomly choosing a place for lunch out of 6 different restaurants, you can roll a die as it has 6 sides, each representing a different restaurant choice.

Tags

CCSS.7.SP.C.8C

Which is the best way to represent answering 25 multiple-choice questions with 4 choices for each answer?

• spin a spinner with four sections 25 times

• roll a die 25 times

• flip a coin 25 times

• roll a die 4 times

Answer explanation

The best way to represent answering 25 multiple-choice questions with 4 choices for each answer is to spin a spinner with four sections 25 times.

Tags

CCSS.7.SP.C.8C

Layla has 2 pairs of shoes and 6 pairs of socks. If each pair of socks and each pair of shoes is equally like to be chosen, which is the best simulation to show the probability of choosing any given combination?

• roll a die and flip a coin

• roll a die two times

• flip a coin 6 times

• flip a coin 2 times

Answer explanation

The best simulation to show the probability of choosing any given combination is to roll a die and flip a coin, as each pair of socks and shoes is equally likely to be chosen.

Tags

CCSS.7.SP.C.8C