Hair Color/Height Less than 175 cm 175 to 180 cm Above 180 cm Total
Black 28 33 29 90
Brown 37 24 19 80
Blond 21 33 26 80
Total 86 90 74 250
250 employees in an organization were surveyed about their hair color and height. The data collected is presented in the table. If a person is selected at random, what is the probability that the person is taller than 180 centimeters and has black hair?

A.
0.257
B.
0.351
C.
0.360
D.
0.116

Respuesta :

Answer:The answer is D. .116 fr Plato

The probability that If a person is selected at random the person is taller than 180 centimeters and has black hair is 0.116.

What is Probability?

The probability helps us to know the chances of an event occurring.

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The number of people who are having black hair and are taller than 180 cm is 29. And the total number of employees in the company is 250. Therefore, the probability that the person is taller than 180 centimeters and has black hair can be written as,

[tex]\rm Probability=\dfrac{\text{Number of people with black hair and taller than 180 cm}}{\text{Total number of employees in the company}}\\\\\\Probability = \dfrac{29}{250} = 0.116[/tex]

Thus,  the probability that If a person is selected at random the person is taller than 180 centimeters and has black hair is 0.116.

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