Asurvey was conducted about the colors of shoes that people
were wearing; the results are shown in the table. find the
probability that a randomly selected person was either female or
was wearing brown shoes.
a)0.344
b)0.797
c)0.625
d)0.406

Option B) 0.797

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.  

The size of the sample space is the total number of possible outcomes  

The event space is the number of outcomes in the event you are interested in.  

so  

Let

x------> size of the event space

y-----> size of the sample space  

so

step 1

Find the  probability that a randomly selected person was female

In this problem we have

 ----> total females

 ---> total males plus total females

substitute

step 2

Find the  probability that a randomly selected person was was wearing brown shoes

In this problem we have

 ----> total brown shoes

 ---> total shoes

substitute

step 3

Find the  probability that a randomly selected person was either female or was wearing brown shoes

Adds the probabilities