Question

The table given below shows the colors of jackets in a clothing store and their respective frequencies.

Color of jacket	Frequency
Blue	$20$
Black	$30$
Brown	$50$
Grey	$100$

If a jacket is picked at random, what color do you think it would be?

• A. Blue
• B. Black
• C. Brown
• D. Grey

Answer 1

The correct option is D Grey

Total number of jackets $=20+30+50+100$
$=200$

The probability $\text{P(Blue)}$ that the jacket picked at random is blue is:

Number of jackets of blue color $=20$

$\text{P(Blue)}=\frac{\text{Number of jackets of blue color}}{\text{Total number of jackets}}$

$\text{P(Blue)}=\frac{20}{200}$

$\text{P(Blue)}=\frac{1}{10}$

The probability $\text{P(Black)}$ that the jacket picked at random is black is:

Number of jackets of black color $=30$

$\text{P(Black)}=\frac{\text{Number of jackets of black color}}{\text{Total number of jackets}}$

$\text{P(Black)}=\frac{30}{200}$

$\text{P(Black)}=\frac{3}{20}$

The probability $\text{P(Brown)}$ that the jacket picked at random is brown is:

Number of jackets of brown color $=50$

$\text{P(Blue)}=\frac{\text{Number of jackets of brown color}}{\text{Total number of jackets}}$

$\text{P(Brown)}=\frac{50}{200}$

$\text{P(Brown)}=\frac{1}{4}$

The probability $\text{P(Grey)}$that the jacket picked at random is grey is:

Number of jackets of grey color $=20$

$\text{P(Grey)}=\frac{\text{Number of jackets of grey color}}{\text{Total number of jackets}}$

$\text{P(Grey)}=\frac{100}{200}$

$\text{P(Grey)}=\frac{1}{2}$

From the calculation of probabilities of the different colors given, it is most likely that the new jacket picked at random is $\text{Grey}$ because it has the highest experimental probability, i.e., $\frac{1}{2}$.


Therefore, option (d.) is the correct answer.