In this lesson, we will learn how to design a simulation to recreate a situation again and again so that the likelihood of various outcomes can be estimated.

Q1:

William is designing a simulation to model the outcomes of rolling two dice and adding the numbers together.

He says that, in each trial, he can randomly generate a number between 2 and 12. This number will represent the sum of the numbers on the dice. Why is this incorrect?

Q2:

Chloe is designing a simulation to model the ice cream sales at a local cafe.

Last week,70% of the ice creams sold were chocolate, 20% were vanilla, and 10% were strawberry.

She is going to use a spinner to generate data to predict this weeks sales. Which spinner should she use?

She will perform 50 trials. Describe what a single trial will entail.

Q3:

Noah is designing a simulation to model the outcomes of the following game.

Each player drops a coin onto the target and receives the score corresponding to the color the coin lands on.

There is an equal chance of the coin landing anywhere on the target and the score is calculated based on where the middle of the coin lands. Complete the table to determine the probabilities of landing on each color.

He wants to use a random number generator to simulate the outcomes of the game. He will randomly generate integers between 0 and some number 𝑥. Which of the following would be the best choice for 𝑥?

He will perform 50 trials. Describe what a single trial will entail.

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