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%

Step-by-step 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 :-

$\text{P(do not like pink)}=\dfrac{32}{100}=0.32$

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 :-

$\text{P(neither pink nor black)}=\dfrac{32}{100}=0.32$

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

$\text{P(Not black|Not pink)}=\dfrac{\text{{P(neither pink nor black)}}}{\text{P(do not like pink)}}\\\\=\dfrac{0.09}{0.32}=0.28125$

In percent, the required probability = $0.28125\times100=28.125\%\approx28.15$