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A town has two shopping malls. A survey conducted on the shopping preferences of the town's residents showed that 62% of the residents visit Comet Mall, 73% of the residents visit Star Mall, and 48% of the residents visit both malls. The probability that a resident is chosen at random shops at either Comet Mall or at Star Mall is

Respuesta :

Using Venn probabilities, it is found that:

  • The probability that a resident is chosen at random shops at either Comet Mall or at Star Mall is 0.87 = 87%.

In this problem, the events are:

  • Event A: Visits Comet Mall.
  • Evenet B: Visits Star Mall.

In this problem:

  • 62% of the residents visit Comet Mall, hence [tex]P(A) = 0.62[/tex].
  • 73% of the residents visit Star Mall, hence [tex]P(B) = 0.73[/tex].
  • 48% of the residents visit both malls, hence [tex]P(A \cap B) = 0.48[/tex]

The probability of either is:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

Hence:

[tex]P(A \cup B) = 0.62 + 0.73 - 0.48 = 0.87[/tex]

  • The probability that a resident is chosen at random shops at either Comet Mall or at Star Mall is 0.87 = 87%.

You can learn more about Venn probabilities at https://brainly.com/question/25698611

sofia50923

Answer:

87%.

Step-by-step explanation:

The probability that a resident chosen at random shops at either Comet Mall or at Star Mall is 87%.

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