type the correct answer in the box. a town has two shopping malls. a survey conducted on the shopping…

type the correct answer in the box. a town has two shopping malls. a survey conducted on the shopping preferences of the towns 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 %.

type the correct answer in the box. a town has two shopping malls. a survey conducted on the shopping preferences of the towns 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

Explanation:

Step1: Recall the formula for the probability of the union of two events

Let $A$ be the event that a resident visits Comet Mall and $B$ be the event that a resident visits Star Mall. The formula for $P(A\cup B)$ is $P(A\cup B)=P(A)+P(B)-P(A\cap B)$.

Step2: Identify the given probabilities

We are given that $P(A) = 0.62$, $P(B)=0.73$ and $P(A\cap B)=0.48$.

Step3: Substitute the values into the formula

$P(A\cup B)=0.62 + 0.73- 0.48$. $P(A\cup B)=0.87$.

Answer:

87