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In order to gauge opinion on the creation of a pet park, a town council conducted a survey of households in the town. The town council recognizes that responses from households with pets may be different than those from households without pets. According to the survey, out of every 50 households, 15 have no pets and 25 have exactly 1 pet. Based on the survey responses, if a household in the town is selected at random, what is the probability that the selected household has more than 1 pet?Responses 1050Answer A: the fraction 10 over 50A 1550Answer B: the fraction 15 over 50B 3550Answer C: the fraction 35 over 50C

Question

In order to gauge opinion on the creation of a pet park, a town council conducted a survey of households in the town. The town council recognizes that responses from households with pets may be different than those from households without pets. According to the survey, out of every 50 households, 15 have no pets and 25 have exactly 1 pet. Based on the survey responses, if a household in the town is selected at random, what is the probability that the selected household has more than 1 pet?Responses 1050Answer A: the fraction 10 over 50A 1550Answer B: the fraction 15 over 50B 3550Answer C: the fraction 35 over 50C

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Solution

To determine the probability that a randomly selected household has more than 1 pet, we need to analyze the given data from the survey.

  1. According to the survey:

    • Out of every 50 households:
      • 15 households have no pets.
      • 25 households have exactly 1 pet.
  2. To find the number of households with more than 1 pet, we subtract the households with no pets and the households with exactly 1 pet from the total number of households surveyed:

    • Total households surveyed: 50
    • Households with no pets: 15
    • Households with exactly 1 pet: 25
  3. Calculate the households with more than 1 pet:

    • Households with more than 1 pet = Total households - Households with no pets - Households with exactly 1 pet
    • Households with more than 1 pet = 50 - 15 - 25
    • Households with more than 1 pet = 10
  4. The probability that a randomly selected household has more than 1 pet is the number of households with more than 1 pet divided by the total number of households surveyed:

    • Probability = Number of households with more than 1 pet / Total number of households
    • Probability = 10 / 50

Therefore, the correct answer is: Answer A: the fraction 10 over 50

This problem has been solved

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