You and five of your friends like to go to McDonalds once a week and get Happy Meals for the prize inside. McDonalds has just started a new "dinosaur toy" promotion for their Happy Meals with six different dinosaurs you can collect: Brachiosaurus, Brontosaurus, Diplodocus, Tyrannosaurus, Plesiosaurus, and Allosaurus. You each want to collect at least one of all six dinosaurs, but the prizes are randomly placed in Happy Meals, and there is no way to know which dinosaur you're getting until you open the Happy Meal bag. How might you design a simulation experiment to find the likelihood (experimental probability) of getting all six toys after one, two, three, etc. Weeks?

Question

Mathematics

Serenity Ward

16 September, 02:24

You and five of your friends like to go to McDonalds once a week and get Happy Meals for the prize inside. McDonalds has just started a new "dinosaur toy" promotion for their Happy Meals with six different dinosaurs you can collect: Brachiosaurus, Brontosaurus, Diplodocus, Tyrannosaurus, Plesiosaurus, and Allosaurus. You each want to collect at least one of all six dinosaurs, but the prizes are randomly placed in Happy Meals, and there is no way to know which dinosaur you're getting until you open the Happy Meal bag. How might you design a simulation experiment to find the likelihood (experimental probability) of getting all six toys after one, two, three, etc. Weeks?

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Answers (1)

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Alannah Hodges · Answer 1

The most suitable experimental simulation to find the probability of getting the six toys is by rolling the dice and recording the occurrences.

Step-by-step explanation:

As there are a total of 6 different dinosaurs, the probability of each of them is given as

P (X=one dinosaur) = 1/6

In order to design an experiment, as the data is completely random and unknown, thus the experiment is designed such that the probability of individual option is 1/6.

In this regard the most suitable option is rolling a dice, numerous times and recording the occurrences accordingly.