Question

Mia surveyed the students at her school to find out if they like the color black and/or pink. The results of her survey are shown in the two-way table below:

If a student does not like pink, what is the probability that student also does not like black? (5 points)


Select one:

a. 18.0%

b. 21.9%

c. 28.1%

d. 39.1%

Answer 1

The probability is about 28.1%.

Answer 2

Answer: c. 28.1%

Explanation:

From the given table, Total students = 100

The number of students do not like pink = 32

The probability of selecting a student who do not like pink is given by :-

`\text{P(do not like pink)}=(32)/(100)=0.32`

The number of students who neither like pink nor black = 9

The probability of selecting a student who neither like pink nor black is given by :-

`\text{P(neither pink nor black)}=(32)/(100)=0.32`

Now, If a student does not like pink, what is the probability that student also does not like black is given by :-

`\textNot pink)=\frac{\text{{P(neither pink nor black)}}}{\text{P(do not like pink)}}\\\\=(0.09)/(0.32)=0.28125`

In percent, the required probability =
`0.28125*100=28.125\%\approx28.15`