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Jane wants to select a random shirt from her wardrobe while blindfolded. She has a 10% chance of finding a blue shirt while blindfolded. She wants to know the probability of it taking at least four shirts to find a blue shirt. Which simulation can best be used to compute the probability? A. Model B: Use a spinner with ten different colors of equal area. For one trial, spin the spinner four times. Count the trial if, only on the fourth spin, the spinner lands on brown. Repeat this process for 20 trials. B. Model C: Draw a marble from a bag containing ten different-colored marbles. For one trial, draw the marbles until a blue marble is drawn. Count the trial if the blue marble is drawn on the fourth draw or later. Repeat the process for 100 trials. C. Model A: Flip a coin. For one trial, flip the coin until it lands on tails. Count the trial if the coin lands on tails on the fourth flip or later. Repeat this process for 100 trials. D. Model D: Use a standard deck of cards. Randomly draw one card from the deck. After drawing a card, place it back in the deck and shuffle. For one trial, draw a card from the deck four times. Count the trial if, only on the fourth draw, the card is a spade. Repeat the process for 200 trials.​

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User Shizhen
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1 Answer

6 votes

Answer:

Option C: Model A is the best simulation to compute the probability of it taking at least four shirts to find a blue shirt. The coin flip can represent the binary outcome of success (blue shirt) or failure (non-blue shirt), with a 10% chance of success in each trial. By repeating the process of flipping a coin until it lands on tails, it simulates drawing shirts until a blue shirt is found.

answered
User SANAT
by
7.7k points
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