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Some friends are taking turns spinning a toy to see how it lands. The toy has four sides, each with a different animal displayed. The toy is weighted unevenly, so that it lands on the turtle 21%21\% of the time. If one of the friends spins the toy 22 times, what is the probability that it lands on the turtle exactly 22 times? Write your answer as a decimal rounded to the nearest thousandth. ____

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Q. Some friends are taking turns spinning a toy to see how it lands. The toy has four sides, each with a different animal displayed. The toy is weighted unevenly, so that it lands on the turtle 21%21\% of the time. If one of the friends spins the toy 22 times, what is the probability that it lands on the turtle exactly 22 times? Write your answer as a decimal rounded to the nearest thousandth. ____
  1. Probability of First Spin: The probability of landing on the turtle on one spin is 21%21\%, or 0.210.21 as a decimal.
  2. Probability of Both Events: To find the probability of two independent events both occurring, we multiply the probabilities of each event.\newlineSo, we multiply the probability of landing on the turtle on the first spin by the probability of landing on the turtle on the second spin.\newline0.21×0.210.21 \times 0.21
  3. Calculate Product: Calculating the product of 0.210.21 and 0.210.21 gives us 0.04410.0441.
  4. Round to Nearest Thousandth: We need to round the answer to the nearest thousandth. 0.04410.0441 rounded to the nearest thousandth is 0.0440.044.

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