Question

A survey 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

Answer 1

The answer is 0.625

Explanation:

I missed this question on the test thanks to the other guy.

Answer 2

Option B) 0.797

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

`P=(x)/(y)`

step 1

Find the probability that a randomly selected person was female

In this problem we have

`x=33` ----> total females

`y=31+33=64` ---> total males plus total females

substitute

`P=(33)/(64)`

step 2

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

In this problem we have

`x=18` ----> total brown shoes

`y=64` ---> total shoes

substitute

`P=(18)/(64)`

step 3

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

Adds the probabilities

`P=(33)/(64)+(18)/(64)=(51)/(64)=0.797`