Question

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 chosen at random shops at either Comet Mall or at Star Mall is %.

Answer 1

Answer:

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.

Step-by-step explanation:

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Answer 2

The required probability is 87%.

Step-by-step explanation:

Since we have given that

Probability of residents visit Comet Mall = 62%

Probability of resident visit Star Mall = 73%

Probability of resident visit both mall = 48%

So, Probability of either Comet Mall or Star Mall would be

$P(C\cup S)=P(C)+P(S)-P(C\cap S)\\\\P(C\cup S)=62+73-48\\\\P(C\cup S)=87\%$

Hence, the required probability is 87%.