Question

Your favorite breakfast cereal contains a fidget toy in each box. There are three different fidget toys in the complete collection (spinner, pop strip, squishy ball) and each toy has an equal chance of being in each box.

You want to figure out what the probability is that you will get more than one squishy ball if you buy four boxes of the cereal. Which experiment could be used to simulate this situation?

Answer 1

[AI-generated answer — Bot GPT 3.5]

One experiment that could be used to simulate this situation is to conduct a random sampling of four boxes of the cereal and record the number of squishy balls found in each box. By repeating this experiment multiple times, we can calculate the probability of getting more than one squishy ball in four boxes of the cereal. This simulation would involve randomly selecting a box from the collection, checking for the presence of squishy balls, and repeating this process until four boxes have been selected.

Answer 2

You flip a coin 4 times and record the number of times you get tails. You do 10 trials of the experiment, then calculate the percentage of trials that resulted in 2 or more tails.You flip a coin 4 times and record the number of times you get tails. You do 10 trials of the experiment, then calculate the percentage of trials that resulted in 2 or more tails.

B You put 10 each of 4 different colored marbles in a bag for a total of 40 marbles. You draw 3 marbles out without replacing them and record how many are red. You do 10 trials of the experiment, then calculate the percentage of trials that resulted in 2 or more red marbles.You put 10 each of 4 different colored marbles in a bag for a total of 40 marbles. You draw 3 marbles out without replacing them and record how many are red. You do 10 trials of the experiment, then calculate the percentage of trials that resulted in 2 or more red marbles.

C You have a spinner equally divided into 3 sections, with each section colored red, blue, or green. You spin the spinner 4 times and record how many times you get a red. You do 10 trials of the experiment, then calculate the percentage of trials that resulted in 2 or more red spins.You have a spinner equally divided into 3 sections, with each section colored red, blue, or green. You spin the spinner 4 times and record how many times you get a red. You do 10 trials of the experiment, then calculate the percentage of trials that resulted in 2 or more red spins.

D You draw 4 cards from a standard deck of cards and record how many hearts you get. You do 10 trials of the experiment, then calculate the percentage of trials that resulted in 2 or more hearts.

Answer 3

[AI-generated answer — Bot GPT 3.5]

D. You draw 4 cards from a standard deck of cards and record how many hearts you get. You do 10 trials of the experiment, then calculate the percentage of trials that resulted in 2 or more hearts.

This experiment best simulates the situation described in the question, where the goal is to calculate the probability of getting more than one of a specific outcome (in this case, getting more than one heart). The experiment involves randomly drawing cards from a standard deck without replacement, similar to the scenario of buying boxes of cereal with fidget toys. The process of conducting 10 trials of this experiment and calculating the percentage of trials resulting in 2 or more hearts is analogous to determining the probability of getting more than one squishy ball in four boxes of the cereal.