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Question
chad planted 8 sunflowers along the edge of his garden. the seed packet stated that each sunflower has an 80% chance of growing to be six feet tall, which is taller than him! how likely is it that at least 7 of the sunflowers will grow to be six feet tall? which simulation could be used to fairly represent the situation? create a spinner with 5 equal sections, each labeled with a different number from 1 to 5. spin the spinner 7 times. each time the spinner lands on 1, 2, 3, or 4, it represents a sunflower that is six feet tall. use a computer to randomly generate 8 numbers from 1 to 10. if the number is at most 8, it represents a sunflower that is six feet tall. put 8 brown marbles and 7 yellow marbles in a bag. pick a marble, then return it to the bag, 8 times. each time a yellow marble appears, it represents a sunflower that is six feet tall.
Step1: Analyze the probability of each option
- For the spinner option: The probability of getting 1, 2, 3, or 4 (representing a sunflower that is six - feet tall) is \(\frac{4}{5}=0.8\), but the number of trials is 7 instead of 8.
- For the computer - generated numbers option: The probability of getting a number at most 8 (out of 1 - 10) is \(\frac{8}{10} = 0.8\), and the number of trials is 8.
- For the marble option: The probability of picking a yellow marble (representing a six - feet - tall sunflower) is \(\frac{7}{8 + 7}=\frac{7}{15}
eq0.8\)
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Use a computer to randomly generate 8 numbers from 1 to 10. If the number is at most 8, it represents a sunflower that is six feet tall.